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Finding the Third Proportional to 736,678 and 1,586,711

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Solution

The third proportional to 736,678 and 1,586,711 is: 3,417,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,678 : 1,586,711 = 1,586,711 : x
  2. Step 2: Convert to fraction form
    736,678/1,586,711 = 1,586,711/x
  3. Step 3: Cross multiply
    736,678x = 1,586,711 × 1,586,711
  4. Step 4: Simplify right side
    736,678x = 2,517,651,797,521
  5. Step 5: Solve for x
    x = 2,517,651,797,521/736,678
  6. Step 6: Final answer
    x = 3,417,574.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.