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Finding the Third Proportional to 735,908.81 and 1,079,643.94

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Solution

The third proportional to 735,908.81 and 1,079,643.94 is: 1,583,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,908.81 : 1,079,643.94 = 1,079,643.94 : x
  2. Step 2: Convert to fraction form
    735,908.81/1,079,643.94 = 1,079,643.94/x
  3. Step 3: Cross multiply
    735,908.81x = 1,079,643.94 × 1,079,643.94
  4. Step 4: Simplify right side
    735,908.81x = 1,165,631,031,780.50
  5. Step 5: Solve for x
    x = 1,165,631,031,780.50/735,908.81
  6. Step 6: Final answer
    x = 1,583,934.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.