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Finding the Third Proportional to 1,940,947.13 and 4,082,683.13

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Solution

The third proportional to 1,940,947.13 and 4,082,683.13 is: 8,587,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940,947.13 : 4,082,683.13 = 4,082,683.13 : x
  2. Step 2: Convert to fraction form
    1,940,947.13/4,082,683.13 = 4,082,683.13/x
  3. Step 3: Cross multiply
    1,940,947.13x = 4,082,683.13 × 4,082,683.13
  4. Step 4: Simplify right side
    1,940,947.13x = 16,668,301,499,159.77
  5. Step 5: Solve for x
    x = 16,668,301,499,159.77/1,940,947.13
  6. Step 6: Final answer
    x = 8,587,715.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.