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Finding the Third Proportional to 514,726 and 1,129,081

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Solution

The third proportional to 514,726 and 1,129,081 is: 2,476,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,726 : 1,129,081 = 1,129,081 : x
  2. Step 2: Convert to fraction form
    514,726/1,129,081 = 1,129,081/x
  3. Step 3: Cross multiply
    514,726x = 1,129,081 × 1,129,081
  4. Step 4: Simplify right side
    514,726x = 1,274,823,904,561
  5. Step 5: Solve for x
    x = 1,274,823,904,561/514,726
  6. Step 6: Final answer
    x = 2,476,703.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.