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Finding the Third Proportional to 1,536,802.50 and 2,310,165

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Solution

The third proportional to 1,536,802.50 and 2,310,165 is: 3,472,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,802.50 : 2,310,165 = 2,310,165 : x
  2. Step 2: Convert to fraction form
    1,536,802.50/2,310,165 = 2,310,165/x
  3. Step 3: Cross multiply
    1,536,802.50x = 2,310,165 × 2,310,165
  4. Step 4: Simplify right side
    1,536,802.50x = 5,336,862,327,225
  5. Step 5: Solve for x
    x = 5,336,862,327,225/1,536,802.50
  6. Step 6: Final answer
    x = 3,472,705.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.