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Finding the Third Proportional to 665,282 and 1,042,430

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Solution

The third proportional to 665,282 and 1,042,430 is: 1,633,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,282 : 1,042,430 = 1,042,430 : x
  2. Step 2: Convert to fraction form
    665,282/1,042,430 = 1,042,430/x
  3. Step 3: Cross multiply
    665,282x = 1,042,430 × 1,042,430
  4. Step 4: Simplify right side
    665,282x = 1,086,660,304,900
  5. Step 5: Solve for x
    x = 1,086,660,304,900/665,282
  6. Step 6: Final answer
    x = 1,633,382.99

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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.