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Finding the Third Proportional to 451,870,737 and 698,255,514

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Solution

The third proportional to 451,870,737 and 698,255,514 is: 1,078,982,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,870,737 : 698,255,514 = 698,255,514 : x
  2. Step 2: Convert to fraction form
    451,870,737/698,255,514 = 698,255,514/x
  3. Step 3: Cross multiply
    451,870,737x = 698,255,514 × 698,255,514
  4. Step 4: Simplify right side
    451,870,737x = 487,560,762,831,404,224
  5. Step 5: Solve for x
    x = 487,560,762,831,404,224/451,870,737
  6. Step 6: Final answer
    x = 1,078,982,821.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.