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Finding the Third Proportional to 731,877 and 1,585,928

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Solution

The third proportional to 731,877 and 1,585,928 is: 3,436,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,877 : 1,585,928 = 1,585,928 : x
  2. Step 2: Convert to fraction form
    731,877/1,585,928 = 1,585,928/x
  3. Step 3: Cross multiply
    731,877x = 1,585,928 × 1,585,928
  4. Step 4: Simplify right side
    731,877x = 2,515,167,621,184
  5. Step 5: Solve for x
    x = 2,515,167,621,184/731,877
  6. Step 6: Final answer
    x = 3,436,598.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.