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Finding the Third Proportional to 736,702 and 1,586,760

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Solution

The third proportional to 736,702 and 1,586,760 is: 3,417,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,702 : 1,586,760 = 1,586,760 : x
  2. Step 2: Convert to fraction form
    736,702/1,586,760 = 1,586,760/x
  3. Step 3: Cross multiply
    736,702x = 1,586,760 × 1,586,760
  4. Step 4: Simplify right side
    736,702x = 2,517,807,297,600
  5. Step 5: Solve for x
    x = 2,517,807,297,600/736,702
  6. Step 6: Final answer
    x = 3,417,674.04

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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.