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Finding the Third Proportional to 714,459 and 1,541,097

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Solution

The third proportional to 714,459 and 1,541,097 is: 3,324,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,459 : 1,541,097 = 1,541,097 : x
  2. Step 2: Convert to fraction form
    714,459/1,541,097 = 1,541,097/x
  3. Step 3: Cross multiply
    714,459x = 1,541,097 × 1,541,097
  4. Step 4: Simplify right side
    714,459x = 2,374,979,963,409
  5. Step 5: Solve for x
    x = 2,374,979,963,409/714,459
  6. Step 6: Final answer
    x = 3,324,165.51

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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.