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Finding the Third Proportional to 2,210,943 and 4,687,617

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Solution

The third proportional to 2,210,943 and 4,687,617 is: 9,938,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,943 : 4,687,617 = 4,687,617 : x
  2. Step 2: Convert to fraction form
    2,210,943/4,687,617 = 4,687,617/x
  3. Step 3: Cross multiply
    2,210,943x = 4,687,617 × 4,687,617
  4. Step 4: Simplify right side
    2,210,943x = 21,973,753,138,689
  5. Step 5: Solve for x
    x = 21,973,753,138,689/2,210,943
  6. Step 6: Final answer
    x = 9,938,633.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.