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Finding the Third Proportional to 497,452,126 and 1,064,784,436

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Solution

The third proportional to 497,452,126 and 1,064,784,436 is: 2,279,145,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,452,126 : 1,064,784,436 = 1,064,784,436 : x
  2. Step 2: Convert to fraction form
    497,452,126/1,064,784,436 = 1,064,784,436/x
  3. Step 3: Cross multiply
    497,452,126x = 1,064,784,436 × 1,064,784,436
  4. Step 4: Simplify right side
    497,452,126x = 1,133,765,895,147,838,080
  5. Step 5: Solve for x
    x = 1,133,765,895,147,838,080/497,452,126
  6. Step 6: Final answer
    x = 2,279,145,742.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.