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Finding the Third Proportional to 687,179 and 1,048,538

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Solution

The third proportional to 687,179 and 1,048,538 is: 1,599,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,179 : 1,048,538 = 1,048,538 : x
  2. Step 2: Convert to fraction form
    687,179/1,048,538 = 1,048,538/x
  3. Step 3: Cross multiply
    687,179x = 1,048,538 × 1,048,538
  4. Step 4: Simplify right side
    687,179x = 1,099,431,937,444
  5. Step 5: Solve for x
    x = 1,099,431,937,444/687,179
  6. Step 6: Final answer
    x = 1,599,920.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.