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Finding the Third Proportional to 473,778 and 1,012,680

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Solution

The third proportional to 473,778 and 1,012,680 is: 2,164,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,778 : 1,012,680 = 1,012,680 : x
  2. Step 2: Convert to fraction form
    473,778/1,012,680 = 1,012,680/x
  3. Step 3: Cross multiply
    473,778x = 1,012,680 × 1,012,680
  4. Step 4: Simplify right side
    473,778x = 1,025,520,782,400
  5. Step 5: Solve for x
    x = 1,025,520,782,400/473,778
  6. Step 6: Final answer
    x = 2,164,559.74

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