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Finding the Third Proportional to 225,126,394 and 487,830,510

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Solution

The third proportional to 225,126,394 and 487,830,510 is: 1,057,088,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,126,394 : 487,830,510 = 487,830,510 : x
  2. Step 2: Convert to fraction form
    225,126,394/487,830,510 = 487,830,510/x
  3. Step 3: Cross multiply
    225,126,394x = 487,830,510 × 487,830,510
  4. Step 4: Simplify right side
    225,126,394x = 237,978,606,486,860,096
  5. Step 5: Solve for x
    x = 237,978,606,486,860,096/225,126,394
  6. Step 6: Final answer
    x = 1,057,088,874.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.