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Finding the Third Proportional to 713,916 and 1,487,016

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Solution

The third proportional to 713,916 and 1,487,016 is: 3,097,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,916 : 1,487,016 = 1,487,016 : x
  2. Step 2: Convert to fraction form
    713,916/1,487,016 = 1,487,016/x
  3. Step 3: Cross multiply
    713,916x = 1,487,016 × 1,487,016
  4. Step 4: Simplify right side
    713,916x = 2,211,216,584,256
  5. Step 5: Solve for x
    x = 2,211,216,584,256/713,916
  6. Step 6: Final answer
    x = 3,097,306.38

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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.