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Finding the Third Proportional to 713,128 and 1,566,200

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Solution

The third proportional to 713,128 and 1,566,200 is: 3,439,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,128 : 1,566,200 = 1,566,200 : x
  2. Step 2: Convert to fraction form
    713,128/1,566,200 = 1,566,200/x
  3. Step 3: Cross multiply
    713,128x = 1,566,200 × 1,566,200
  4. Step 4: Simplify right side
    713,128x = 2,452,982,440,000
  5. Step 5: Solve for x
    x = 2,452,982,440,000/713,128
  6. Step 6: Final answer
    x = 3,439,750.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.