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Finding the Third Proportional to 2,310,778 and 4,986,921

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Solution

The third proportional to 2,310,778 and 4,986,921 is: 10,762,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310,778 : 4,986,921 = 4,986,921 : x
  2. Step 2: Convert to fraction form
    2,310,778/4,986,921 = 4,986,921/x
  3. Step 3: Cross multiply
    2,310,778x = 4,986,921 × 4,986,921
  4. Step 4: Simplify right side
    2,310,778x = 24,869,381,060,241
  5. Step 5: Solve for x
    x = 24,869,381,060,241/2,310,778
  6. Step 6: Final answer
    x = 10,762,341.11

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Why These Related Problems?

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