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Finding the Third Proportional to 683,540 and 1,495,748

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Solution

The third proportional to 683,540 and 1,495,748 is: 3,273,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,540 : 1,495,748 = 1,495,748 : x
  2. Step 2: Convert to fraction form
    683,540/1,495,748 = 1,495,748/x
  3. Step 3: Cross multiply
    683,540x = 1,495,748 × 1,495,748
  4. Step 4: Simplify right side
    683,540x = 2,237,262,079,504
  5. Step 5: Solve for x
    x = 2,237,262,079,504/683,540
  6. Step 6: Final answer
    x = 3,273,052.17

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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.