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Finding the Third Proportional to 1,249,014 and 2,947,497

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Solution

The third proportional to 1,249,014 and 2,947,497 is: 6,955,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,014 : 2,947,497 = 2,947,497 : x
  2. Step 2: Convert to fraction form
    1,249,014/2,947,497 = 2,947,497/x
  3. Step 3: Cross multiply
    1,249,014x = 2,947,497 × 2,947,497
  4. Step 4: Simplify right side
    1,249,014x = 8,687,738,565,009
  5. Step 5: Solve for x
    x = 8,687,738,565,009/1,249,014
  6. Step 6: Final answer
    x = 6,955,677.49

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