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Finding the Third Proportional to 1,763,883.84 and 3,739,718.74

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Solution

The third proportional to 1,763,883.84 and 3,739,718.74 is: 7,928,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763,883.84 : 3,739,718.74 = 3,739,718.74 : x
  2. Step 2: Convert to fraction form
    1,763,883.84/3,739,718.74 = 3,739,718.74/x
  3. Step 3: Cross multiply
    1,763,883.84x = 3,739,718.74 × 3,739,718.74
  4. Step 4: Simplify right side
    1,763,883.84x = 13,985,496,270,668.46
  5. Step 5: Solve for x
    x = 13,985,496,270,668.46/1,763,883.84
  6. Step 6: Final answer
    x = 7,928,807.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.