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Finding the Third Proportional to 692,266 and 1,487,948

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Solution

The third proportional to 692,266 and 1,487,948 is: 3,198,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,266 : 1,487,948 = 1,487,948 : x
  2. Step 2: Convert to fraction form
    692,266/1,487,948 = 1,487,948/x
  3. Step 3: Cross multiply
    692,266x = 1,487,948 × 1,487,948
  4. Step 4: Simplify right side
    692,266x = 2,213,989,250,704
  5. Step 5: Solve for x
    x = 2,213,989,250,704/692,266
  6. Step 6: Final answer
    x = 3,198,177.07

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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.