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Finding the Third Proportional to 683,266.50 and 1,581,789

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Solution

The third proportional to 683,266.50 and 1,581,789 is: 3,661,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,266.50 : 1,581,789 = 1,581,789 : x
  2. Step 2: Convert to fraction form
    683,266.50/1,581,789 = 1,581,789/x
  3. Step 3: Cross multiply
    683,266.50x = 1,581,789 × 1,581,789
  4. Step 4: Simplify right side
    683,266.50x = 2,502,056,440,521
  5. Step 5: Solve for x
    x = 2,502,056,440,521/683,266.50
  6. Step 6: Final answer
    x = 3,661,904.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.