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Finding the Third Proportional to 872,608 and 1,280,188

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Solution

The third proportional to 872,608 and 1,280,188 is: 1,878,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,608 : 1,280,188 = 1,280,188 : x
  2. Step 2: Convert to fraction form
    872,608/1,280,188 = 1,280,188/x
  3. Step 3: Cross multiply
    872,608x = 1,280,188 × 1,280,188
  4. Step 4: Simplify right side
    872,608x = 1,638,881,315,344
  5. Step 5: Solve for x
    x = 1,638,881,315,344/872,608
  6. Step 6: Final answer
    x = 1,878,141.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.