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Finding the Third Proportional to 761,977.13 and 1,665,631.69

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Solution

The third proportional to 761,977.13 and 1,665,631.69 is: 3,640,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,977.13 : 1,665,631.69 = 1,665,631.69 : x
  2. Step 2: Convert to fraction form
    761,977.13/1,665,631.69 = 1,665,631.69/x
  3. Step 3: Cross multiply
    761,977.13x = 1,665,631.69 × 1,665,631.69
  4. Step 4: Simplify right side
    761,977.13x = 2,774,328,918,404.10
  5. Step 5: Solve for x
    x = 2,774,328,918,404.10/761,977.13
  6. Step 6: Final answer
    x = 3,640,960.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.