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Finding the Third Proportional to 700,887.94 and 1,098,041.06

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Solution

The third proportional to 700,887.94 and 1,098,041.06 is: 1,720,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,887.94 : 1,098,041.06 = 1,098,041.06 : x
  2. Step 2: Convert to fraction form
    700,887.94/1,098,041.06 = 1,098,041.06/x
  3. Step 3: Cross multiply
    700,887.94x = 1,098,041.06 × 1,098,041.06
  4. Step 4: Simplify right side
    700,887.94x = 1,205,694,174,936.13
  5. Step 5: Solve for x
    x = 1,205,694,174,936.13/700,887.94
  6. Step 6: Final answer
    x = 1,720,238.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.