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Finding the Third Proportional to 1,005,778,744 and 1,502,474,244

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Solution

The third proportional to 1,005,778,744 and 1,502,474,244 is: 2,244,458,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,778,744 : 1,502,474,244 = 1,502,474,244 : x
  2. Step 2: Convert to fraction form
    1,005,778,744/1,502,474,244 = 1,502,474,244/x
  3. Step 3: Cross multiply
    1,005,778,744x = 1,502,474,244 × 1,502,474,244
  4. Step 4: Simplify right side
    1,005,778,744x = 2,257,428,853,883,371,520
  5. Step 5: Solve for x
    x = 2,257,428,853,883,371,520/1,005,778,744
  6. Step 6: Final answer
    x = 2,244,458,701.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.