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Finding the Third Proportional to 431,193 and 907,066.50

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Solution

The third proportional to 431,193 and 907,066.50 is: 1,908,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,193 : 907,066.50 = 907,066.50 : x
  2. Step 2: Convert to fraction form
    431,193/907,066.50 = 907,066.50/x
  3. Step 3: Cross multiply
    431,193x = 907,066.50 × 907,066.50
  4. Step 4: Simplify right side
    431,193x = 822,769,635,422.25
  5. Step 5: Solve for x
    x = 822,769,635,422.25/431,193
  6. Step 6: Final answer
    x = 1,908,123.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.