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Finding the Third Proportional to 546,186 and 1,118,616

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Solution

The third proportional to 546,186 and 1,118,616 is: 2,290,981.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,186 : 1,118,616 = 1,118,616 : x
  2. Step 2: Convert to fraction form
    546,186/1,118,616 = 1,118,616/x
  3. Step 3: Cross multiply
    546,186x = 1,118,616 × 1,118,616
  4. Step 4: Simplify right side
    546,186x = 1,251,301,755,456
  5. Step 5: Solve for x
    x = 1,251,301,755,456/546,186
  6. Step 6: Final answer
    x = 2,290,981.01

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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.