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Finding the Third Proportional to 702,560 and 1,515,712

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Solution

The third proportional to 702,560 and 1,515,712 is: 3,270,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,560 : 1,515,712 = 1,515,712 : x
  2. Step 2: Convert to fraction form
    702,560/1,515,712 = 1,515,712/x
  3. Step 3: Cross multiply
    702,560x = 1,515,712 × 1,515,712
  4. Step 4: Simplify right side
    702,560x = 2,297,382,866,944
  5. Step 5: Solve for x
    x = 2,297,382,866,944/702,560
  6. Step 6: Final answer
    x = 3,270,016.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.