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Finding the Third Proportional to 684,486 and 1,064,061

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Solution

The third proportional to 684,486 and 1,064,061 is: 1,654,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,486 : 1,064,061 = 1,064,061 : x
  2. Step 2: Convert to fraction form
    684,486/1,064,061 = 1,064,061/x
  3. Step 3: Cross multiply
    684,486x = 1,064,061 × 1,064,061
  4. Step 4: Simplify right side
    684,486x = 1,132,225,811,721
  5. Step 5: Solve for x
    x = 1,132,225,811,721/684,486
  6. Step 6: Final answer
    x = 1,654,125.59

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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.