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Finding the Third Proportional to 657,255,397.50 and 1,023,571,395

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Solution

The third proportional to 657,255,397.50 and 1,023,571,395 is: 1,594,050,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,255,397.50 : 1,023,571,395 = 1,023,571,395 : x
  2. Step 2: Convert to fraction form
    657,255,397.50/1,023,571,395 = 1,023,571,395/x
  3. Step 3: Cross multiply
    657,255,397.50x = 1,023,571,395 × 1,023,571,395
  4. Step 4: Simplify right side
    657,255,397.50x = 1,047,698,400,662,246,016
  5. Step 5: Solve for x
    x = 1,047,698,400,662,246,016/657,255,397.50
  6. Step 6: Final answer
    x = 1,594,050,660.74

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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.