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Finding the Third Proportional to 783,915 and 1,717,212

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Solution

The third proportional to 783,915 and 1,717,212 is: 3,761,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,915 : 1,717,212 = 1,717,212 : x
  2. Step 2: Convert to fraction form
    783,915/1,717,212 = 1,717,212/x
  3. Step 3: Cross multiply
    783,915x = 1,717,212 × 1,717,212
  4. Step 4: Simplify right side
    783,915x = 2,948,817,052,944
  5. Step 5: Solve for x
    x = 2,948,817,052,944/783,915
  6. Step 6: Final answer
    x = 3,761,654.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.