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Finding the Third Proportional to 692,120 and 1,501,744

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Solution

The third proportional to 692,120 and 1,501,744 is: 3,258,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,120 : 1,501,744 = 1,501,744 : x
  2. Step 2: Convert to fraction form
    692,120/1,501,744 = 1,501,744/x
  3. Step 3: Cross multiply
    692,120x = 1,501,744 × 1,501,744
  4. Step 4: Simplify right side
    692,120x = 2,255,235,041,536
  5. Step 5: Solve for x
    x = 2,255,235,041,536/692,120
  6. Step 6: Final answer
    x = 3,258,445.13

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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.