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Finding the Third Proportional to 2,786,701 and 4,306,861

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Solution

The third proportional to 2,786,701 and 4,306,861 is: 6,656,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786,701 : 4,306,861 = 4,306,861 : x
  2. Step 2: Convert to fraction form
    2,786,701/4,306,861 = 4,306,861/x
  3. Step 3: Cross multiply
    2,786,701x = 4,306,861 × 4,306,861
  4. Step 4: Simplify right side
    2,786,701x = 18,549,051,673,321
  5. Step 5: Solve for x
    x = 18,549,051,673,321/2,786,701
  6. Step 6: Final answer
    x = 6,656,276.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.