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Finding the Third Proportional to 732,003.75 and 1,586,196

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Solution

The third proportional to 732,003.75 and 1,586,196 is: 3,437,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,003.75 : 1,586,196 = 1,586,196 : x
  2. Step 2: Convert to fraction form
    732,003.75/1,586,196 = 1,586,196/x
  3. Step 3: Cross multiply
    732,003.75x = 1,586,196 × 1,586,196
  4. Step 4: Simplify right side
    732,003.75x = 2,516,017,750,416
  5. Step 5: Solve for x
    x = 2,516,017,750,416/732,003.75
  6. Step 6: Final answer
    x = 3,437,165.11

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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.