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Finding the Third Proportional to 546,209 and 1,118,656

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Solution

The third proportional to 546,209 and 1,118,656 is: 2,291,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,209 : 1,118,656 = 1,118,656 : x
  2. Step 2: Convert to fraction form
    546,209/1,118,656 = 1,118,656/x
  3. Step 3: Cross multiply
    546,209x = 1,118,656 × 1,118,656
  4. Step 4: Simplify right side
    546,209x = 1,251,391,246,336
  5. Step 5: Solve for x
    x = 1,251,391,246,336/546,209
  6. Step 6: Final answer
    x = 2,291,048.38

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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.