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Finding the Third Proportional to 2,249,799 and 4,949,850

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Solution

The third proportional to 2,249,799 and 4,949,850 is: 10,890,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249,799 : 4,949,850 = 4,949,850 : x
  2. Step 2: Convert to fraction form
    2,249,799/4,949,850 = 4,949,850/x
  3. Step 3: Cross multiply
    2,249,799x = 4,949,850 × 4,949,850
  4. Step 4: Simplify right side
    2,249,799x = 24,501,015,022,500
  5. Step 5: Solve for x
    x = 24,501,015,022,500/2,249,799
  6. Step 6: Final answer
    x = 10,890,312.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.