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Finding the Third Proportional to 715,748 and 1,560,097

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Solution

The third proportional to 715,748 and 1,560,097 is: 3,400,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,748 : 1,560,097 = 1,560,097 : x
  2. Step 2: Convert to fraction form
    715,748/1,560,097 = 1,560,097/x
  3. Step 3: Cross multiply
    715,748x = 1,560,097 × 1,560,097
  4. Step 4: Simplify right side
    715,748x = 2,433,902,649,409
  5. Step 5: Solve for x
    x = 2,433,902,649,409/715,748
  6. Step 6: Final answer
    x = 3,400,502.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.