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Finding the Third Proportional to 1,586,446.88 and 2,416,849.31

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Solution

The third proportional to 1,586,446.88 and 2,416,849.31 is: 3,681,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,446.88 : 2,416,849.31 = 2,416,849.31 : x
  2. Step 2: Convert to fraction form
    1,586,446.88/2,416,849.31 = 2,416,849.31/x
  3. Step 3: Cross multiply
    1,586,446.88x = 2,416,849.31 × 2,416,849.31
  4. Step 4: Simplify right side
    1,586,446.88x = 5,841,160,599,331.72
  5. Step 5: Solve for x
    x = 5,841,160,599,331.72/1,586,446.88
  6. Step 6: Final answer
    x = 3,681,913.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.