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Finding the Third Proportional to 517,892,184 and 1,109,654,559

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Solution

The third proportional to 517,892,184 and 1,109,654,559 is: 2,377,586,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,892,184 : 1,109,654,559 = 1,109,654,559 : x
  2. Step 2: Convert to fraction form
    517,892,184/1,109,654,559 = 1,109,654,559/x
  3. Step 3: Cross multiply
    517,892,184x = 1,109,654,559 × 1,109,654,559
  4. Step 4: Simplify right side
    517,892,184x = 1,231,333,240,309,484,544
  5. Step 5: Solve for x
    x = 1,231,333,240,309,484,544/517,892,184
  6. Step 6: Final answer
    x = 2,377,586,065.89

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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.