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Finding the Third Proportional to 519,733,371 and 1,155,670,746

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Solution

The third proportional to 519,733,371 and 1,155,670,746 is: 2,569,730,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,733,371 : 1,155,670,746 = 1,155,670,746 : x
  2. Step 2: Convert to fraction form
    519,733,371/1,155,670,746 = 1,155,670,746/x
  3. Step 3: Cross multiply
    519,733,371x = 1,155,670,746 × 1,155,670,746
  4. Step 4: Simplify right side
    519,733,371x = 1,335,574,873,160,196,608
  5. Step 5: Solve for x
    x = 1,335,574,873,160,196,608/519,733,371
  6. Step 6: Final answer
    x = 2,569,730,842.16

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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.