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Finding the Third Proportional to 1,169,175 and 1,753,924.50

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Solution

The third proportional to 1,169,175 and 1,753,924.50 is: 2,631,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,175 : 1,753,924.50 = 1,753,924.50 : x
  2. Step 2: Convert to fraction form
    1,169,175/1,753,924.50 = 1,753,924.50/x
  3. Step 3: Cross multiply
    1,169,175x = 1,753,924.50 × 1,753,924.50
  4. Step 4: Simplify right side
    1,169,175x = 3,076,251,151,700.25
  5. Step 5: Solve for x
    x = 3,076,251,151,700.25/1,169,175
  6. Step 6: Final answer
    x = 2,631,129.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.