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Finding the Third Proportional to 450,784.13 and 951,869.25

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Solution

The third proportional to 450,784.13 and 951,869.25 is: 2,009,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,784.13 : 951,869.25 = 951,869.25 : x
  2. Step 2: Convert to fraction form
    450,784.13/951,869.25 = 951,869.25/x
  3. Step 3: Cross multiply
    450,784.13x = 951,869.25 × 951,869.25
  4. Step 4: Simplify right side
    450,784.13x = 906,055,069,095.56
  5. Step 5: Solve for x
    x = 906,055,069,095.56/450,784.13
  6. Step 6: Final answer
    x = 2,009,953.37

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.