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Finding the Third Proportional to 1,272,564 and 2,727,291

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Solution

The third proportional to 1,272,564 and 2,727,291 is: 5,844,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,564 : 2,727,291 = 2,727,291 : x
  2. Step 2: Convert to fraction form
    1,272,564/2,727,291 = 2,727,291/x
  3. Step 3: Cross multiply
    1,272,564x = 2,727,291 × 2,727,291
  4. Step 4: Simplify right side
    1,272,564x = 7,438,116,198,681
  5. Step 5: Solve for x
    x = 7,438,116,198,681/1,272,564
  6. Step 6: Final answer
    x = 5,844,983.98

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