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Finding the Third Proportional to 797,019.75 and 926,574.19

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Solution

The third proportional to 797,019.75 and 926,574.19 is: 1,077,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,019.75 : 926,574.19 = 926,574.19 : x
  2. Step 2: Convert to fraction form
    797,019.75/926,574.19 = 926,574.19/x
  3. Step 3: Cross multiply
    797,019.75x = 926,574.19 × 926,574.19
  4. Step 4: Simplify right side
    797,019.75x = 858,539,724,941.29
  5. Step 5: Solve for x
    x = 858,539,724,941.29/797,019.75
  6. Step 6: Final answer
    x = 1,077,187.52

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.