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Finding the Third Proportional to 714,579 and 1,532,767

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Solution

The third proportional to 714,579 and 1,532,767 is: 3,287,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,579 : 1,532,767 = 1,532,767 : x
  2. Step 2: Convert to fraction form
    714,579/1,532,767 = 1,532,767/x
  3. Step 3: Cross multiply
    714,579x = 1,532,767 × 1,532,767
  4. Step 4: Simplify right side
    714,579x = 2,349,374,676,289
  5. Step 5: Solve for x
    x = 2,349,374,676,289/714,579
  6. Step 6: Final answer
    x = 3,287,774.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.