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Finding the Third Proportional to 1,077,464 and 2,356,861

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Solution

The third proportional to 1,077,464 and 2,356,861 is: 5,155,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,464 : 2,356,861 = 2,356,861 : x
  2. Step 2: Convert to fraction form
    1,077,464/2,356,861 = 2,356,861/x
  3. Step 3: Cross multiply
    1,077,464x = 2,356,861 × 2,356,861
  4. Step 4: Simplify right side
    1,077,464x = 5,554,793,773,321
  5. Step 5: Solve for x
    x = 5,554,793,773,321/1,077,464
  6. Step 6: Final answer
    x = 5,155,433.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.