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Finding the Third Proportional to 546,513 and 1,201,488

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Solution

The third proportional to 546,513 and 1,201,488 is: 2,641,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,513 : 1,201,488 = 1,201,488 : x
  2. Step 2: Convert to fraction form
    546,513/1,201,488 = 1,201,488/x
  3. Step 3: Cross multiply
    546,513x = 1,201,488 × 1,201,488
  4. Step 4: Simplify right side
    546,513x = 1,443,573,414,144
  5. Step 5: Solve for x
    x = 1,443,573,414,144/546,513
  6. Step 6: Final answer
    x = 2,641,425.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.