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Finding the Third Proportional to 788,550.19 and 1,684,126.69

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Solution

The third proportional to 788,550.19 and 1,684,126.69 is: 3,596,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,550.19 : 1,684,126.69 = 1,684,126.69 : x
  2. Step 2: Convert to fraction form
    788,550.19/1,684,126.69 = 1,684,126.69/x
  3. Step 3: Cross multiply
    788,550.19x = 1,684,126.69 × 1,684,126.69
  4. Step 4: Simplify right side
    788,550.19x = 2,836,282,699,549.72
  5. Step 5: Solve for x
    x = 2,836,282,699,549.72/788,550.19
  6. Step 6: Final answer
    x = 3,596,832.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.