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Finding the Third Proportional to 726,564.94 and 1,120,506.19

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Solution

The third proportional to 726,564.94 and 1,120,506.19 is: 1,728,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,564.94 : 1,120,506.19 = 1,120,506.19 : x
  2. Step 2: Convert to fraction form
    726,564.94/1,120,506.19 = 1,120,506.19/x
  3. Step 3: Cross multiply
    726,564.94x = 1,120,506.19 × 1,120,506.19
  4. Step 4: Simplify right side
    726,564.94x = 1,255,534,116,225.79
  5. Step 5: Solve for x
    x = 1,255,534,116,225.79/726,564.94
  6. Step 6: Final answer
    x = 1,728,041.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.