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Finding the Third Proportional to 665,390 and 1,042,442

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Solution

The third proportional to 665,390 and 1,042,442 is: 1,633,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,390 : 1,042,442 = 1,042,442 : x
  2. Step 2: Convert to fraction form
    665,390/1,042,442 = 1,042,442/x
  3. Step 3: Cross multiply
    665,390x = 1,042,442 × 1,042,442
  4. Step 4: Simplify right side
    665,390x = 1,086,685,323,364
  5. Step 5: Solve for x
    x = 1,086,685,323,364/665,390
  6. Step 6: Final answer
    x = 1,633,155.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.