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Finding the Third Proportional to 845,936 and 1,310,711

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Solution

The third proportional to 845,936 and 1,310,711 is: 2,030,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,936 : 1,310,711 = 1,310,711 : x
  2. Step 2: Convert to fraction form
    845,936/1,310,711 = 1,310,711/x
  3. Step 3: Cross multiply
    845,936x = 1,310,711 × 1,310,711
  4. Step 4: Simplify right side
    845,936x = 1,717,963,325,521
  5. Step 5: Solve for x
    x = 1,717,963,325,521/845,936
  6. Step 6: Final answer
    x = 2,030,843.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.