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Finding the Third Proportional to 492,597 and 1,063,776

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Solution

The third proportional to 492,597 and 1,063,776 is: 2,297,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,597 : 1,063,776 = 1,063,776 : x
  2. Step 2: Convert to fraction form
    492,597/1,063,776 = 1,063,776/x
  3. Step 3: Cross multiply
    492,597x = 1,063,776 × 1,063,776
  4. Step 4: Simplify right side
    492,597x = 1,131,619,378,176
  5. Step 5: Solve for x
    x = 1,131,619,378,176/492,597
  6. Step 6: Final answer
    x = 2,297,251.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.