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Finding the Third Proportional to 1,761,132.38 and 3,823,412.63

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Solution

The third proportional to 1,761,132.38 and 3,823,412.63 is: 8,300,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761,132.38 : 3,823,412.63 = 3,823,412.63 : x
  2. Step 2: Convert to fraction form
    1,761,132.38/3,823,412.63 = 3,823,412.63/x
  3. Step 3: Cross multiply
    1,761,132.38x = 3,823,412.63 × 3,823,412.63
  4. Step 4: Simplify right side
    1,761,132.38x = 14,618,484,101,009.39
  5. Step 5: Solve for x
    x = 14,618,484,101,009.39/1,761,132.38
  6. Step 6: Final answer
    x = 8,300,616.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.