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Finding the Third Proportional to 732,716 and 1,575,916

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Solution

The third proportional to 732,716 and 1,575,916 is: 3,389,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,716 : 1,575,916 = 1,575,916 : x
  2. Step 2: Convert to fraction form
    732,716/1,575,916 = 1,575,916/x
  3. Step 3: Cross multiply
    732,716x = 1,575,916 × 1,575,916
  4. Step 4: Simplify right side
    732,716x = 2,483,511,239,056
  5. Step 5: Solve for x
    x = 2,483,511,239,056/732,716
  6. Step 6: Final answer
    x = 3,389,459.54

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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.