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Finding the Third Proportional to 874,742 and 1,307,559

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Solution

The third proportional to 874,742 and 1,307,559 is: 1,954,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,742 : 1,307,559 = 1,307,559 : x
  2. Step 2: Convert to fraction form
    874,742/1,307,559 = 1,307,559/x
  3. Step 3: Cross multiply
    874,742x = 1,307,559 × 1,307,559
  4. Step 4: Simplify right side
    874,742x = 1,709,710,538,481
  5. Step 5: Solve for x
    x = 1,709,710,538,481/874,742
  6. Step 6: Final answer
    x = 1,954,531.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.