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Finding the Third Proportional to 716,288 and 1,530,912

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Solution

The third proportional to 716,288 and 1,530,912 is: 3,271,996.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,288 : 1,530,912 = 1,530,912 : x
  2. Step 2: Convert to fraction form
    716,288/1,530,912 = 1,530,912/x
  3. Step 3: Cross multiply
    716,288x = 1,530,912 × 1,530,912
  4. Step 4: Simplify right side
    716,288x = 2,343,691,551,744
  5. Step 5: Solve for x
    x = 2,343,691,551,744/716,288
  6. Step 6: Final answer
    x = 3,271,996.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.