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Finding the Third Proportional to 747,654 and 1,640,061

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Solution

The third proportional to 747,654 and 1,640,061 is: 3,597,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,654 : 1,640,061 = 1,640,061 : x
  2. Step 2: Convert to fraction form
    747,654/1,640,061 = 1,640,061/x
  3. Step 3: Cross multiply
    747,654x = 1,640,061 × 1,640,061
  4. Step 4: Simplify right side
    747,654x = 2,689,800,083,721
  5. Step 5: Solve for x
    x = 2,689,800,083,721/747,654
  6. Step 6: Final answer
    x = 3,597,653.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.