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Finding the Third Proportional to 688,002 and 1,036,035

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Solution

The third proportional to 688,002 and 1,036,035 is: 1,560,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,002 : 1,036,035 = 1,036,035 : x
  2. Step 2: Convert to fraction form
    688,002/1,036,035 = 1,036,035/x
  3. Step 3: Cross multiply
    688,002x = 1,036,035 × 1,036,035
  4. Step 4: Simplify right side
    688,002x = 1,073,368,521,225
  5. Step 5: Solve for x
    x = 1,073,368,521,225/688,002
  6. Step 6: Final answer
    x = 1,560,124.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.