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Finding the Third Proportional to 1,565,116.50 and 2,096,412

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Solution

The third proportional to 1,565,116.50 and 2,096,412 is: 2,808,061.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,116.50 : 2,096,412 = 2,096,412 : x
  2. Step 2: Convert to fraction form
    1,565,116.50/2,096,412 = 2,096,412/x
  3. Step 3: Cross multiply
    1,565,116.50x = 2,096,412 × 2,096,412
  4. Step 4: Simplify right side
    1,565,116.50x = 4,394,943,273,744
  5. Step 5: Solve for x
    x = 4,394,943,273,744/1,565,116.50
  6. Step 6: Final answer
    x = 2,808,061.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.