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Finding the Third Proportional to 813,684 and 1,183,590

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Solution

The third proportional to 813,684 and 1,183,590 is: 1,721,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,684 : 1,183,590 = 1,183,590 : x
  2. Step 2: Convert to fraction form
    813,684/1,183,590 = 1,183,590/x
  3. Step 3: Cross multiply
    813,684x = 1,183,590 × 1,183,590
  4. Step 4: Simplify right side
    813,684x = 1,400,885,288,100
  5. Step 5: Solve for x
    x = 1,400,885,288,100/813,684
  6. Step 6: Final answer
    x = 1,721,657.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.