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Finding the Third Proportional to 845,280 and 1,253,952

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Solution

The third proportional to 845,280 and 1,253,952 is: 1,860,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,280 : 1,253,952 = 1,253,952 : x
  2. Step 2: Convert to fraction form
    845,280/1,253,952 = 1,253,952/x
  3. Step 3: Cross multiply
    845,280x = 1,253,952 × 1,253,952
  4. Step 4: Simplify right side
    845,280x = 1,572,395,618,304
  5. Step 5: Solve for x
    x = 1,572,395,618,304/845,280
  6. Step 6: Final answer
    x = 1,860,206.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.