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Finding the Third Proportional to 665,402 and 1,042,460

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Solution

The third proportional to 665,402 and 1,042,460 is: 1,633,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,402 : 1,042,460 = 1,042,460 : x
  2. Step 2: Convert to fraction form
    665,402/1,042,460 = 1,042,460/x
  3. Step 3: Cross multiply
    665,402x = 1,042,460 × 1,042,460
  4. Step 4: Simplify right side
    665,402x = 1,086,722,851,600
  5. Step 5: Solve for x
    x = 1,086,722,851,600/665,402
  6. Step 6: Final answer
    x = 1,633,182.42

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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.