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Finding the Third Proportional to 730,040 and 1,560,967

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Solution

The third proportional to 730,040 and 1,560,967 is: 3,337,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,040 : 1,560,967 = 1,560,967 : x
  2. Step 2: Convert to fraction form
    730,040/1,560,967 = 1,560,967/x
  3. Step 3: Cross multiply
    730,040x = 1,560,967 × 1,560,967
  4. Step 4: Simplify right side
    730,040x = 2,436,617,975,089
  5. Step 5: Solve for x
    x = 2,436,617,975,089/730,040
  6. Step 6: Final answer
    x = 3,337,649.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.