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Finding the Third Proportional to 736,682 and 1,586,719

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Solution

The third proportional to 736,682 and 1,586,719 is: 3,417,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,682 : 1,586,719 = 1,586,719 : x
  2. Step 2: Convert to fraction form
    736,682/1,586,719 = 1,586,719/x
  3. Step 3: Cross multiply
    736,682x = 1,586,719 × 1,586,719
  4. Step 4: Simplify right side
    736,682x = 2,517,677,184,961
  5. Step 5: Solve for x
    x = 2,517,677,184,961/736,682
  6. Step 6: Final answer
    x = 3,417,590.20

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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.