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Finding the Third Proportional to 1,569,378 and 2,221,282

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Solution

The third proportional to 1,569,378 and 2,221,282 is: 3,143,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,378 : 2,221,282 = 2,221,282 : x
  2. Step 2: Convert to fraction form
    1,569,378/2,221,282 = 2,221,282/x
  3. Step 3: Cross multiply
    1,569,378x = 2,221,282 × 2,221,282
  4. Step 4: Simplify right side
    1,569,378x = 4,934,093,723,524
  5. Step 5: Solve for x
    x = 4,934,093,723,524/1,569,378
  6. Step 6: Final answer
    x = 3,143,980.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.