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Finding the Third Proportional to 692,694 and 1,036,272

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Solution

The third proportional to 692,694 and 1,036,272 is: 1,550,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,694 : 1,036,272 = 1,036,272 : x
  2. Step 2: Convert to fraction form
    692,694/1,036,272 = 1,036,272/x
  3. Step 3: Cross multiply
    692,694x = 1,036,272 × 1,036,272
  4. Step 4: Simplify right side
    692,694x = 1,073,859,657,984
  5. Step 5: Solve for x
    x = 1,073,859,657,984/692,694
  6. Step 6: Final answer
    x = 1,550,265.57

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