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Finding the Third Proportional to 836,743.50 and 1,812,537

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Solution

The third proportional to 836,743.50 and 1,812,537 is: 3,926,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,743.50 : 1,812,537 = 1,812,537 : x
  2. Step 2: Convert to fraction form
    836,743.50/1,812,537 = 1,812,537/x
  3. Step 3: Cross multiply
    836,743.50x = 1,812,537 × 1,812,537
  4. Step 4: Simplify right side
    836,743.50x = 3,285,290,376,369
  5. Step 5: Solve for x
    x = 3,285,290,376,369/836,743.50
  6. Step 6: Final answer
    x = 3,926,281.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.