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Finding the Third Proportional to 784,829.25 and 1,663,048.13

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Solution

The third proportional to 784,829.25 and 1,663,048.13 is: 3,523,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,829.25 : 1,663,048.13 = 1,663,048.13 : x
  2. Step 2: Convert to fraction form
    784,829.25/1,663,048.13 = 1,663,048.13/x
  3. Step 3: Cross multiply
    784,829.25x = 1,663,048.13 × 1,663,048.13
  4. Step 4: Simplify right side
    784,829.25x = 2,765,729,066,066.02
  5. Step 5: Solve for x
    x = 2,765,729,066,066.02/784,829.25
  6. Step 6: Final answer
    x = 3,523,988.26

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.