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Finding the Third Proportional to 1,375,993.13 and 2,023,545.38

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Solution

The third proportional to 1,375,993.13 and 2,023,545.38 is: 2,975,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,993.13 : 2,023,545.38 = 2,023,545.38 : x
  2. Step 2: Convert to fraction form
    1,375,993.13/2,023,545.38 = 2,023,545.38/x
  3. Step 3: Cross multiply
    1,375,993.13x = 2,023,545.38 × 2,023,545.38
  4. Step 4: Simplify right side
    1,375,993.13x = 4,094,735,884,683.89
  5. Step 5: Solve for x
    x = 4,094,735,884,683.89/1,375,993.13
  6. Step 6: Final answer
    x = 2,975,840.37

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Why These Related Problems?

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