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Finding the Third Proportional to 872,608.50 and 1,280,184.75

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Solution

The third proportional to 872,608.50 and 1,280,184.75 is: 1,878,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,608.50 : 1,280,184.75 = 1,280,184.75 : x
  2. Step 2: Convert to fraction form
    872,608.50/1,280,184.75 = 1,280,184.75/x
  3. Step 3: Cross multiply
    872,608.50x = 1,280,184.75 × 1,280,184.75
  4. Step 4: Simplify right side
    872,608.50x = 1,638,872,994,132.56
  5. Step 5: Solve for x
    x = 1,638,872,994,132.56/872,608.50
  6. Step 6: Final answer
    x = 1,878,130.91

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Why These Related Problems?

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