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Finding the Third Proportional to 1,249,002 and 2,947,464

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Solution

The third proportional to 1,249,002 and 2,947,464 is: 6,955,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,002 : 2,947,464 = 2,947,464 : x
  2. Step 2: Convert to fraction form
    1,249,002/2,947,464 = 2,947,464/x
  3. Step 3: Cross multiply
    1,249,002x = 2,947,464 × 2,947,464
  4. Step 4: Simplify right side
    1,249,002x = 8,687,544,031,296
  5. Step 5: Solve for x
    x = 8,687,544,031,296/1,249,002
  6. Step 6: Final answer
    x = 6,955,588.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.