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Finding the Third Proportional to 487,051,729 and 1,063,412,534

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Solution

The third proportional to 487,051,729 and 1,063,412,534 is: 2,321,819,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,051,729 : 1,063,412,534 = 1,063,412,534 : x
  2. Step 2: Convert to fraction form
    487,051,729/1,063,412,534 = 1,063,412,534/x
  3. Step 3: Cross multiply
    487,051,729x = 1,063,412,534 × 1,063,412,534
  4. Step 4: Simplify right side
    487,051,729x = 1,130,846,217,468,301,184
  5. Step 5: Solve for x
    x = 1,130,846,217,468,301,184/487,051,729
  6. Step 6: Final answer
    x = 2,321,819,531.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.