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Finding the Third Proportional to 657,255,391 and 1,023,571,384

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Solution

The third proportional to 657,255,391 and 1,023,571,384 is: 1,594,050,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,255,391 : 1,023,571,384 = 1,023,571,384 : x
  2. Step 2: Convert to fraction form
    657,255,391/1,023,571,384 = 1,023,571,384/x
  3. Step 3: Cross multiply
    657,255,391x = 1,023,571,384 × 1,023,571,384
  4. Step 4: Simplify right side
    657,255,391x = 1,047,698,378,143,675,392
  5. Step 5: Solve for x
    x = 1,047,698,378,143,675,392/657,255,391
  6. Step 6: Final answer
    x = 1,594,050,642.25

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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.