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Finding the Third Proportional to 461,957,370 and 962,126,734

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Solution

The third proportional to 461,957,370 and 962,126,734 is: 2,003,838,259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,957,370 : 962,126,734 = 962,126,734 : x
  2. Step 2: Convert to fraction form
    461,957,370/962,126,734 = 962,126,734/x
  3. Step 3: Cross multiply
    461,957,370x = 962,126,734 × 962,126,734
  4. Step 4: Simplify right side
    461,957,370x = 925,687,852,277,506,816
  5. Step 5: Solve for x
    x = 925,687,852,277,506,816/461,957,370
  6. Step 6: Final answer
    x = 2,003,838,259.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.