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Finding the Third Proportional to 683,721 and 1,061,316

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Solution

The third proportional to 683,721 and 1,061,316 is: 1,647,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,721 : 1,061,316 = 1,061,316 : x
  2. Step 2: Convert to fraction form
    683,721/1,061,316 = 1,061,316/x
  3. Step 3: Cross multiply
    683,721x = 1,061,316 × 1,061,316
  4. Step 4: Simplify right side
    683,721x = 1,126,391,651,856
  5. Step 5: Solve for x
    x = 1,126,391,651,856/683,721
  6. Step 6: Final answer
    x = 1,647,443.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.