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Finding the Third Proportional to 743,521 and 1,181,715

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Solution

The third proportional to 743,521 and 1,181,715 is: 1,878,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,521 : 1,181,715 = 1,181,715 : x
  2. Step 2: Convert to fraction form
    743,521/1,181,715 = 1,181,715/x
  3. Step 3: Cross multiply
    743,521x = 1,181,715 × 1,181,715
  4. Step 4: Simplify right side
    743,521x = 1,396,450,341,225
  5. Step 5: Solve for x
    x = 1,396,450,341,225/743,521
  6. Step 6: Final answer
    x = 1,878,158.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.