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Finding the Third Proportional to 540,426 and 1,175,982

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Solution

The third proportional to 540,426 and 1,175,982 is: 2,558,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,426 : 1,175,982 = 1,175,982 : x
  2. Step 2: Convert to fraction form
    540,426/1,175,982 = 1,175,982/x
  3. Step 3: Cross multiply
    540,426x = 1,175,982 × 1,175,982
  4. Step 4: Simplify right side
    540,426x = 1,382,933,664,324
  5. Step 5: Solve for x
    x = 1,382,933,664,324/540,426
  6. Step 6: Final answer
    x = 2,558,969.52

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Why These Related Problems?

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