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Finding the Third Proportional to 678,432 and 1,055,004

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Solution

The third proportional to 678,432 and 1,055,004 is: 1,640,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,432 : 1,055,004 = 1,055,004 : x
  2. Step 2: Convert to fraction form
    678,432/1,055,004 = 1,055,004/x
  3. Step 3: Cross multiply
    678,432x = 1,055,004 × 1,055,004
  4. Step 4: Simplify right side
    678,432x = 1,113,033,440,016
  5. Step 5: Solve for x
    x = 1,113,033,440,016/678,432
  6. Step 6: Final answer
    x = 1,640,596.91

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.