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Finding the Third Proportional to 657,255,389.06 and 1,023,571,381.22

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Solution

The third proportional to 657,255,389.06 and 1,023,571,381.22 is: 1,594,050,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,255,389.06 : 1,023,571,381.22 = 1,023,571,381.22 : x
  2. Step 2: Convert to fraction form
    657,255,389.06/1,023,571,381.22 = 1,023,571,381.22/x
  3. Step 3: Cross multiply
    657,255,389.06x = 1,023,571,381.22 × 1,023,571,381.22
  4. Step 4: Simplify right side
    657,255,389.06x = 1,047,698,372,450,161,920
  5. Step 5: Solve for x
    x = 1,047,698,372,450,161,920/657,255,389.06
  6. Step 6: Final answer
    x = 1,594,050,638.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.