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Finding the Third Proportional to 1,024,374 and 1,503,341

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Solution

The third proportional to 1,024,374 and 1,503,341 is: 2,206,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,374 : 1,503,341 = 1,503,341 : x
  2. Step 2: Convert to fraction form
    1,024,374/1,503,341 = 1,503,341/x
  3. Step 3: Cross multiply
    1,024,374x = 1,503,341 × 1,503,341
  4. Step 4: Simplify right side
    1,024,374x = 2,260,034,162,281
  5. Step 5: Solve for x
    x = 2,260,034,162,281/1,024,374
  6. Step 6: Final answer
    x = 2,206,258.81

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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.