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Finding the Third Proportional to 2,249,154 and 4,857,401

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Solution

The third proportional to 2,249,154 and 4,857,401 is: 10,490,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249,154 : 4,857,401 = 4,857,401 : x
  2. Step 2: Convert to fraction form
    2,249,154/4,857,401 = 4,857,401/x
  3. Step 3: Cross multiply
    2,249,154x = 4,857,401 × 4,857,401
  4. Step 4: Simplify right side
    2,249,154x = 23,594,344,474,801
  5. Step 5: Solve for x
    x = 23,594,344,474,801/2,249,154
  6. Step 6: Final answer
    x = 10,490,319.68

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