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Finding the Third Proportional to 1,306,314 and 1,921,055

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Solution

The third proportional to 1,306,314 and 1,921,055 is: 2,825,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,314 : 1,921,055 = 1,921,055 : x
  2. Step 2: Convert to fraction form
    1,306,314/1,921,055 = 1,921,055/x
  3. Step 3: Cross multiply
    1,306,314x = 1,921,055 × 1,921,055
  4. Step 4: Simplify right side
    1,306,314x = 3,690,452,313,025
  5. Step 5: Solve for x
    x = 3,690,452,313,025/1,306,314
  6. Step 6: Final answer
    x = 2,825,088.24

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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.