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Finding the Third Proportional to 642,146 and 1,017,651

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Solution

The third proportional to 642,146 and 1,017,651 is: 1,612,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,146 : 1,017,651 = 1,017,651 : x
  2. Step 2: Convert to fraction form
    642,146/1,017,651 = 1,017,651/x
  3. Step 3: Cross multiply
    642,146x = 1,017,651 × 1,017,651
  4. Step 4: Simplify right side
    642,146x = 1,035,613,557,801
  5. Step 5: Solve for x
    x = 1,035,613,557,801/642,146
  6. Step 6: Final answer
    x = 1,612,738.47

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.