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Finding the Third Proportional to 782,464 and 1,714,373

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Solution

The third proportional to 782,464 and 1,714,373 is: 3,756,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,464 : 1,714,373 = 1,714,373 : x
  2. Step 2: Convert to fraction form
    782,464/1,714,373 = 1,714,373/x
  3. Step 3: Cross multiply
    782,464x = 1,714,373 × 1,714,373
  4. Step 4: Simplify right side
    782,464x = 2,939,074,783,129
  5. Step 5: Solve for x
    x = 2,939,074,783,129/782,464
  6. Step 6: Final answer
    x = 3,756,178.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.