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Finding the Third Proportional to 914,014.13 and 1,414,501.31

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Solution

The third proportional to 914,014.13 and 1,414,501.31 is: 2,189,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,014.13 : 1,414,501.31 = 1,414,501.31 : x
  2. Step 2: Convert to fraction form
    914,014.13/1,414,501.31 = 1,414,501.31/x
  3. Step 3: Cross multiply
    914,014.13x = 1,414,501.31 × 1,414,501.31
  4. Step 4: Simplify right side
    914,014.13x = 2,000,813,963,064.22
  5. Step 5: Solve for x
    x = 2,000,813,963,064.22/914,014.13
  6. Step 6: Final answer
    x = 2,189,040.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.