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Finding the Third Proportional to 991,016 and 1,495,812

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Solution

The third proportional to 991,016 and 1,495,812 is: 2,257,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,016 : 1,495,812 = 1,495,812 : x
  2. Step 2: Convert to fraction form
    991,016/1,495,812 = 1,495,812/x
  3. Step 3: Cross multiply
    991,016x = 1,495,812 × 1,495,812
  4. Step 4: Simplify right side
    991,016x = 2,237,453,539,344
  5. Step 5: Solve for x
    x = 2,237,453,539,344/991,016
  6. Step 6: Final answer
    x = 2,257,737.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.