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Finding the Third Proportional to 890,574.75 and 1,736,588.25

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Solution

The third proportional to 890,574.75 and 1,736,588.25 is: 3,386,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,574.75 : 1,736,588.25 = 1,736,588.25 : x
  2. Step 2: Convert to fraction form
    890,574.75/1,736,588.25 = 1,736,588.25/x
  3. Step 3: Cross multiply
    890,574.75x = 1,736,588.25 × 1,736,588.25
  4. Step 4: Simplify right side
    890,574.75x = 3,015,738,750,038.06
  5. Step 5: Solve for x
    x = 3,015,738,750,038.06/890,574.75
  6. Step 6: Final answer
    x = 3,386,283.69

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.