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Finding the Third Proportional to 686,572 and 1,435,920

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Solution

The third proportional to 686,572 and 1,435,920 is: 3,003,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,572 : 1,435,920 = 1,435,920 : x
  2. Step 2: Convert to fraction form
    686,572/1,435,920 = 1,435,920/x
  3. Step 3: Cross multiply
    686,572x = 1,435,920 × 1,435,920
  4. Step 4: Simplify right side
    686,572x = 2,061,866,246,400
  5. Step 5: Solve for x
    x = 2,061,866,246,400/686,572
  6. Step 6: Final answer
    x = 3,003,131.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.