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Finding the Third Proportional to 546,175 and 1,118,594

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Solution

The third proportional to 546,175 and 1,118,594 is: 2,290,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,175 : 1,118,594 = 1,118,594 : x
  2. Step 2: Convert to fraction form
    546,175/1,118,594 = 1,118,594/x
  3. Step 3: Cross multiply
    546,175x = 1,118,594 × 1,118,594
  4. Step 4: Simplify right side
    546,175x = 1,251,252,536,836
  5. Step 5: Solve for x
    x = 1,251,252,536,836/546,175
  6. Step 6: Final answer
    x = 2,290,937.04

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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.