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Finding the Third Proportional to 610,872 and 1,012,275

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Solution

The third proportional to 610,872 and 1,012,275 is: 1,677,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,872 : 1,012,275 = 1,012,275 : x
  2. Step 2: Convert to fraction form
    610,872/1,012,275 = 1,012,275/x
  3. Step 3: Cross multiply
    610,872x = 1,012,275 × 1,012,275
  4. Step 4: Simplify right side
    610,872x = 1,024,700,675,625
  5. Step 5: Solve for x
    x = 1,024,700,675,625/610,872
  6. Step 6: Final answer
    x = 1,677,439.26

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.