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Finding the Third Proportional to 829,207.13 and 1,746,987.75

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Solution

The third proportional to 829,207.13 and 1,746,987.75 is: 3,680,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,207.13 : 1,746,987.75 = 1,746,987.75 : x
  2. Step 2: Convert to fraction form
    829,207.13/1,746,987.75 = 1,746,987.75/x
  3. Step 3: Cross multiply
    829,207.13x = 1,746,987.75 × 1,746,987.75
  4. Step 4: Simplify right side
    829,207.13x = 3,051,966,198,650.06
  5. Step 5: Solve for x
    x = 3,051,966,198,650.06/829,207.13
  6. Step 6: Final answer
    x = 3,680,583.66

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.