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Finding the Third Proportional to 692,694 and 1,036,261

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Solution

The third proportional to 692,694 and 1,036,261 is: 1,550,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,694 : 1,036,261 = 1,036,261 : x
  2. Step 2: Convert to fraction form
    692,694/1,036,261 = 1,036,261/x
  3. Step 3: Cross multiply
    692,694x = 1,036,261 × 1,036,261
  4. Step 4: Simplify right side
    692,694x = 1,073,836,860,121
  5. Step 5: Solve for x
    x = 1,073,836,860,121/692,694
  6. Step 6: Final answer
    x = 1,550,232.66

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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.