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Finding the Third Proportional to 872,598 and 1,280,166

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Solution

The third proportional to 872,598 and 1,280,166 is: 1,878,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,598 : 1,280,166 = 1,280,166 : x
  2. Step 2: Convert to fraction form
    872,598/1,280,166 = 1,280,166/x
  3. Step 3: Cross multiply
    872,598x = 1,280,166 × 1,280,166
  4. Step 4: Simplify right side
    872,598x = 1,638,824,987,556
  5. Step 5: Solve for x
    x = 1,638,824,987,556/872,598
  6. Step 6: Final answer
    x = 1,878,098.49

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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.