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Finding the Third Proportional to 664,470 and 1,423,350

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Solution

The third proportional to 664,470 and 1,423,350 is: 3,048,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,470 : 1,423,350 = 1,423,350 : x
  2. Step 2: Convert to fraction form
    664,470/1,423,350 = 1,423,350/x
  3. Step 3: Cross multiply
    664,470x = 1,423,350 × 1,423,350
  4. Step 4: Simplify right side
    664,470x = 2,025,925,222,500
  5. Step 5: Solve for x
    x = 2,025,925,222,500/664,470
  6. Step 6: Final answer
    x = 3,048,934.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.