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Finding the Third Proportional to 1,243,593 and 1,920,348

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Solution

The third proportional to 1,243,593 and 1,920,348 is: 2,965,388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,593 : 1,920,348 = 1,920,348 : x
  2. Step 2: Convert to fraction form
    1,243,593/1,920,348 = 1,920,348/x
  3. Step 3: Cross multiply
    1,243,593x = 1,920,348 × 1,920,348
  4. Step 4: Simplify right side
    1,243,593x = 3,687,736,441,104
  5. Step 5: Solve for x
    x = 3,687,736,441,104/1,243,593
  6. Step 6: Final answer
    x = 2,965,388.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.