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Finding the Third Proportional to 572,932 and 1,247,816

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Solution

The third proportional to 572,932 and 1,247,816 is: 2,717,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,932 : 1,247,816 = 1,247,816 : x
  2. Step 2: Convert to fraction form
    572,932/1,247,816 = 1,247,816/x
  3. Step 3: Cross multiply
    572,932x = 1,247,816 × 1,247,816
  4. Step 4: Simplify right side
    572,932x = 1,557,044,769,856
  5. Step 5: Solve for x
    x = 1,557,044,769,856/572,932
  6. Step 6: Final answer
    x = 2,717,678.14

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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.