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Finding the Third Proportional to 713,160 and 1,486,080

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Solution

The third proportional to 713,160 and 1,486,080 is: 3,096,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,160 : 1,486,080 = 1,486,080 : x
  2. Step 2: Convert to fraction form
    713,160/1,486,080 = 1,486,080/x
  3. Step 3: Cross multiply
    713,160x = 1,486,080 × 1,486,080
  4. Step 4: Simplify right side
    713,160x = 2,208,433,766,400
  5. Step 5: Solve for x
    x = 2,208,433,766,400/713,160
  6. Step 6: Final answer
    x = 3,096,687.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.