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Finding the Third Proportional to 576,498 and 1,181,508

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Solution

The third proportional to 576,498 and 1,181,508 is: 2,421,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,498 : 1,181,508 = 1,181,508 : x
  2. Step 2: Convert to fraction form
    576,498/1,181,508 = 1,181,508/x
  3. Step 3: Cross multiply
    576,498x = 1,181,508 × 1,181,508
  4. Step 4: Simplify right side
    576,498x = 1,395,961,154,064
  5. Step 5: Solve for x
    x = 1,395,961,154,064/576,498
  6. Step 6: Final answer
    x = 2,421,450.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.