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Finding the Third Proportional to 702,148.50 and 1,656,945

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Solution

The third proportional to 702,148.50 and 1,656,945 is: 3,910,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,148.50 : 1,656,945 = 1,656,945 : x
  2. Step 2: Convert to fraction form
    702,148.50/1,656,945 = 1,656,945/x
  3. Step 3: Cross multiply
    702,148.50x = 1,656,945 × 1,656,945
  4. Step 4: Simplify right side
    702,148.50x = 2,745,466,733,025
  5. Step 5: Solve for x
    x = 2,745,466,733,025/702,148.50
  6. Step 6: Final answer
    x = 3,910,094.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.