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Finding the Third Proportional to 610,538 and 1,329,548

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Solution

The third proportional to 610,538 and 1,329,548 is: 2,895,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,538 : 1,329,548 = 1,329,548 : x
  2. Step 2: Convert to fraction form
    610,538/1,329,548 = 1,329,548/x
  3. Step 3: Cross multiply
    610,538x = 1,329,548 × 1,329,548
  4. Step 4: Simplify right side
    610,538x = 1,767,697,884,304
  5. Step 5: Solve for x
    x = 1,767,697,884,304/610,538
  6. Step 6: Final answer
    x = 2,895,311.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.