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Finding the Third Proportional to 845,642 and 1,310,259

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Solution

The third proportional to 845,642 and 1,310,259 is: 2,030,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,642 : 1,310,259 = 1,310,259 : x
  2. Step 2: Convert to fraction form
    845,642/1,310,259 = 1,310,259/x
  3. Step 3: Cross multiply
    845,642x = 1,310,259 × 1,310,259
  4. Step 4: Simplify right side
    845,642x = 1,716,778,647,081
  5. Step 5: Solve for x
    x = 1,716,778,647,081/845,642
  6. Step 6: Final answer
    x = 2,030,148.27

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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.