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Finding the Third Proportional to 546,262 and 1,114,206

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Solution

The third proportional to 546,262 and 1,114,206 is: 2,272,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,262 : 1,114,206 = 1,114,206 : x
  2. Step 2: Convert to fraction form
    546,262/1,114,206 = 1,114,206/x
  3. Step 3: Cross multiply
    546,262x = 1,114,206 × 1,114,206
  4. Step 4: Simplify right side
    546,262x = 1,241,455,010,436
  5. Step 5: Solve for x
    x = 1,241,455,010,436/546,262
  6. Step 6: Final answer
    x = 2,272,636.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.