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Finding the Third Proportional to 2,454,210 and 5,249,536

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Solution

The third proportional to 2,454,210 and 5,249,536 is: 11,228,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454,210 : 5,249,536 = 5,249,536 : x
  2. Step 2: Convert to fraction form
    2,454,210/5,249,536 = 5,249,536/x
  3. Step 3: Cross multiply
    2,454,210x = 5,249,536 × 5,249,536
  4. Step 4: Simplify right side
    2,454,210x = 27,557,628,215,296
  5. Step 5: Solve for x
    x = 27,557,628,215,296/2,454,210
  6. Step 6: Final answer
    x = 11,228,716.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.