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Finding the Third Proportional to 940,718,241 and 1,462,502,479.50

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Solution

The third proportional to 940,718,241 and 1,462,502,479.50 is: 2,273,702,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,718,241 : 1,462,502,479.50 = 1,462,502,479.50 : x
  2. Step 2: Convert to fraction form
    940,718,241/1,462,502,479.50 = 1,462,502,479.50/x
  3. Step 3: Cross multiply
    940,718,241x = 1,462,502,479.50 × 1,462,502,479.50
  4. Step 4: Simplify right side
    940,718,241x = 2,138,913,502,543,648,000
  5. Step 5: Solve for x
    x = 2,138,913,502,543,648,000/940,718,241
  6. Step 6: Final answer
    x = 2,273,702,591.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.