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Finding the Third Proportional to 901,864.13 and 1,348,422.19

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Solution

The third proportional to 901,864.13 and 1,348,422.19 is: 2,016,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,864.13 : 1,348,422.19 = 1,348,422.19 : x
  2. Step 2: Convert to fraction form
    901,864.13/1,348,422.19 = 1,348,422.19/x
  3. Step 3: Cross multiply
    901,864.13x = 1,348,422.19 × 1,348,422.19
  4. Step 4: Simplify right side
    901,864.13x = 1,818,242,395,742.29
  5. Step 5: Solve for x
    x = 1,818,242,395,742.29/901,864.13
  6. Step 6: Final answer
    x = 2,016,093.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.