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Finding the Third Proportional to 516,861,254 and 1,134,148,454

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Solution

The third proportional to 516,861,254 and 1,134,148,454 is: 2,488,661,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,861,254 : 1,134,148,454 = 1,134,148,454 : x
  2. Step 2: Convert to fraction form
    516,861,254/1,134,148,454 = 1,134,148,454/x
  3. Step 3: Cross multiply
    516,861,254x = 1,134,148,454 × 1,134,148,454
  4. Step 4: Simplify right side
    516,861,254x = 1,286,292,715,710,590,208
  5. Step 5: Solve for x
    x = 1,286,292,715,710,590,208/516,861,254
  6. Step 6: Final answer
    x = 2,488,661,523.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.