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Finding the Third Proportional to 1,537,273.13 and 2,266,165.69

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Solution

The third proportional to 1,537,273.13 and 2,266,165.69 is: 3,340,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,273.13 : 2,266,165.69 = 2,266,165.69 : x
  2. Step 2: Convert to fraction form
    1,537,273.13/2,266,165.69 = 2,266,165.69/x
  3. Step 3: Cross multiply
    1,537,273.13x = 2,266,165.69 × 2,266,165.69
  4. Step 4: Simplify right side
    1,537,273.13x = 5,135,506,923,202.35
  5. Step 5: Solve for x
    x = 5,135,506,923,202.35/1,537,273.13
  6. Step 6: Final answer
    x = 3,340,660.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.