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Finding the Third Proportional to 776,066.06 and 1,159,320.09

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Solution

The third proportional to 776,066.06 and 1,159,320.09 is: 1,731,841.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,066.06 : 1,159,320.09 = 1,159,320.09 : x
  2. Step 2: Convert to fraction form
    776,066.06/1,159,320.09 = 1,159,320.09/x
  3. Step 3: Cross multiply
    776,066.06x = 1,159,320.09 × 1,159,320.09
  4. Step 4: Simplify right side
    776,066.06x = 1,344,023,079,772.51
  5. Step 5: Solve for x
    x = 1,344,023,079,772.51/776,066.06
  6. Step 6: Final answer
    x = 1,731,841.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.