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Finding the Third Proportional to 707,376 and 1,081,720

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Solution

The third proportional to 707,376 and 1,081,720 is: 1,654,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,376 : 1,081,720 = 1,081,720 : x
  2. Step 2: Convert to fraction form
    707,376/1,081,720 = 1,081,720/x
  3. Step 3: Cross multiply
    707,376x = 1,081,720 × 1,081,720
  4. Step 4: Simplify right side
    707,376x = 1,170,118,158,400
  5. Step 5: Solve for x
    x = 1,170,118,158,400/707,376
  6. Step 6: Final answer
    x = 1,654,167.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.