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Finding the Third Proportional to 783,442 and 1,714,496

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Solution

The third proportional to 783,442 and 1,714,496 is: 3,752,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,442 : 1,714,496 = 1,714,496 : x
  2. Step 2: Convert to fraction form
    783,442/1,714,496 = 1,714,496/x
  3. Step 3: Cross multiply
    783,442x = 1,714,496 × 1,714,496
  4. Step 4: Simplify right side
    783,442x = 2,939,496,534,016
  5. Step 5: Solve for x
    x = 2,939,496,534,016/783,442
  6. Step 6: Final answer
    x = 3,752,028.27

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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.