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Finding the Third Proportional to 519,733,370 and 1,155,670,744

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Solution

The third proportional to 519,733,370 and 1,155,670,744 is: 2,569,730,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,733,370 : 1,155,670,744 = 1,155,670,744 : x
  2. Step 2: Convert to fraction form
    519,733,370/1,155,670,744 = 1,155,670,744/x
  3. Step 3: Cross multiply
    519,733,370x = 1,155,670,744 × 1,155,670,744
  4. Step 4: Simplify right side
    519,733,370x = 1,335,574,868,537,513,472
  5. Step 5: Solve for x
    x = 1,335,574,868,537,513,472/519,733,370
  6. Step 6: Final answer
    x = 2,569,730,838.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.