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Finding the Third Proportional to 540,291 and 1,175,718

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Solution

The third proportional to 540,291 and 1,175,718 is: 2,558,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,291 : 1,175,718 = 1,175,718 : x
  2. Step 2: Convert to fraction form
    540,291/1,175,718 = 1,175,718/x
  3. Step 3: Cross multiply
    540,291x = 1,175,718 × 1,175,718
  4. Step 4: Simplify right side
    540,291x = 1,382,312,815,524
  5. Step 5: Solve for x
    x = 1,382,312,815,524/540,291
  6. Step 6: Final answer
    x = 2,558,459.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.