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Finding the Third Proportional to 590,626.69 and 1,274,064.19

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Solution

The third proportional to 590,626.69 and 1,274,064.19 is: 2,748,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,626.69 : 1,274,064.19 = 1,274,064.19 : x
  2. Step 2: Convert to fraction form
    590,626.69/1,274,064.19 = 1,274,064.19/x
  3. Step 3: Cross multiply
    590,626.69x = 1,274,064.19 × 1,274,064.19
  4. Step 4: Simplify right side
    590,626.69x = 1,623,239,553,870.04
  5. Step 5: Solve for x
    x = 1,623,239,553,870.04/590,626.69
  6. Step 6: Final answer
    x = 2,748,334.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.