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Finding the Third Proportional to 1,565,946 and 2,381,724

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Solution

The third proportional to 1,565,946 and 2,381,724 is: 3,622,480.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,946 : 2,381,724 = 2,381,724 : x
  2. Step 2: Convert to fraction form
    1,565,946/2,381,724 = 2,381,724/x
  3. Step 3: Cross multiply
    1,565,946x = 2,381,724 × 2,381,724
  4. Step 4: Simplify right side
    1,565,946x = 5,672,609,212,176
  5. Step 5: Solve for x
    x = 5,672,609,212,176/1,565,946
  6. Step 6: Final answer
    x = 3,622,480.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.