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Finding the Third Proportional to 1,083,382 and 2,306,727

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Solution

The third proportional to 1,083,382 and 2,306,727 is: 4,911,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,382 : 2,306,727 = 2,306,727 : x
  2. Step 2: Convert to fraction form
    1,083,382/2,306,727 = 2,306,727/x
  3. Step 3: Cross multiply
    1,083,382x = 2,306,727 × 2,306,727
  4. Step 4: Simplify right side
    1,083,382x = 5,320,989,452,529
  5. Step 5: Solve for x
    x = 5,320,989,452,529/1,083,382
  6. Step 6: Final answer
    x = 4,911,461.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.