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Finding the Third Proportional to 1,259,916.38 and 1,945,582.50

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Solution

The third proportional to 1,259,916.38 and 1,945,582.50 is: 3,004,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,916.38 : 1,945,582.50 = 1,945,582.50 : x
  2. Step 2: Convert to fraction form
    1,259,916.38/1,945,582.50 = 1,945,582.50/x
  3. Step 3: Cross multiply
    1,259,916.38x = 1,945,582.50 × 1,945,582.50
  4. Step 4: Simplify right side
    1,259,916.38x = 3,785,291,264,306.25
  5. Step 5: Solve for x
    x = 3,785,291,264,306.25/1,259,916.38
  6. Step 6: Final answer
    x = 3,004,398.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.