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Finding the Third Proportional to 726,838,403 and 1,585,226,906

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Solution

The third proportional to 726,838,403 and 1,585,226,906 is: 3,457,363,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,838,403 : 1,585,226,906 = 1,585,226,906 : x
  2. Step 2: Convert to fraction form
    726,838,403/1,585,226,906 = 1,585,226,906/x
  3. Step 3: Cross multiply
    726,838,403x = 1,585,226,906 × 1,585,226,906
  4. Step 4: Simplify right side
    726,838,403x = 2,512,944,343,506,332,672
  5. Step 5: Solve for x
    x = 2,512,944,343,506,332,672/726,838,403
  6. Step 6: Final answer
    x = 3,457,363,195.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.