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Finding the Third Proportional to 869,857.50 and 1,874,430.75

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Solution

The third proportional to 869,857.50 and 1,874,430.75 is: 4,039,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,857.50 : 1,874,430.75 = 1,874,430.75 : x
  2. Step 2: Convert to fraction form
    869,857.50/1,874,430.75 = 1,874,430.75/x
  3. Step 3: Cross multiply
    869,857.50x = 1,874,430.75 × 1,874,430.75
  4. Step 4: Simplify right side
    869,857.50x = 3,513,490,636,545.56
  5. Step 5: Solve for x
    x = 3,513,490,636,545.56/869,857.50
  6. Step 6: Final answer
    x = 4,039,156.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.