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Finding the Third Proportional to 1,102,418 and 1,653,633

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Solution

The third proportional to 1,102,418 and 1,653,633 is: 2,480,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,418 : 1,653,633 = 1,653,633 : x
  2. Step 2: Convert to fraction form
    1,102,418/1,653,633 = 1,653,633/x
  3. Step 3: Cross multiply
    1,102,418x = 1,653,633 × 1,653,633
  4. Step 4: Simplify right side
    1,102,418x = 2,734,502,098,689
  5. Step 5: Solve for x
    x = 2,734,502,098,689/1,102,418
  6. Step 6: Final answer
    x = 2,480,458.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.