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Finding the Third Proportional to 686,626 and 1,005,359

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Solution

The third proportional to 686,626 and 1,005,359 is: 1,472,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,626 : 1,005,359 = 1,005,359 : x
  2. Step 2: Convert to fraction form
    686,626/1,005,359 = 1,005,359/x
  3. Step 3: Cross multiply
    686,626x = 1,005,359 × 1,005,359
  4. Step 4: Simplify right side
    686,626x = 1,010,746,718,881
  5. Step 5: Solve for x
    x = 1,010,746,718,881/686,626
  6. Step 6: Final answer
    x = 1,472,048.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.