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Finding the Third Proportional to 692,471 and 1,035,939

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Solution

The third proportional to 692,471 and 1,035,939 is: 1,549,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,471 : 1,035,939 = 1,035,939 : x
  2. Step 2: Convert to fraction form
    692,471/1,035,939 = 1,035,939/x
  3. Step 3: Cross multiply
    692,471x = 1,035,939 × 1,035,939
  4. Step 4: Simplify right side
    692,471x = 1,073,169,611,721
  5. Step 5: Solve for x
    x = 1,073,169,611,721/692,471
  6. Step 6: Final answer
    x = 1,549,768.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.