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Finding the Third Proportional to 813,677.91 and 1,772,009.16

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Solution

The third proportional to 813,677.91 and 1,772,009.16 is: 3,859,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,677.91 : 1,772,009.16 = 1,772,009.16 : x
  2. Step 2: Convert to fraction form
    813,677.91/1,772,009.16 = 1,772,009.16/x
  3. Step 3: Cross multiply
    813,677.91x = 1,772,009.16 × 1,772,009.16
  4. Step 4: Simplify right side
    813,677.91x = 3,140,016,449,833.84
  5. Step 5: Solve for x
    x = 3,140,016,449,833.84/813,677.91
  6. Step 6: Final answer
    x = 3,859,041.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.