Home / 442,011,124.97-736,640,812.27

Finding the Third Proportional to 442,011,124.97 and 736,640,812.27

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Solution

The third proportional to 442,011,124.97 and 736,640,812.27 is: 1,227,660,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,011,124.97 : 736,640,812.27 = 736,640,812.27 : x
  2. Step 2: Convert to fraction form
    442,011,124.97/736,640,812.27 = 736,640,812.27/x
  3. Step 3: Cross multiply
    442,011,124.97x = 736,640,812.27 × 736,640,812.27
  4. Step 4: Simplify right side
    442,011,124.97x = 542,639,686,295,352,384
  5. Step 5: Solve for x
    x = 542,639,686,295,352,384/442,011,124.97
  6. Step 6: Final answer
    x = 1,227,660,698.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.