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Finding the Third Proportional to 753,008 and 1,653,472

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Solution

The third proportional to 753,008 and 1,653,472 is: 3,630,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,008 : 1,653,472 = 1,653,472 : x
  2. Step 2: Convert to fraction form
    753,008/1,653,472 = 1,653,472/x
  3. Step 3: Cross multiply
    753,008x = 1,653,472 × 1,653,472
  4. Step 4: Simplify right side
    753,008x = 2,733,969,654,784
  5. Step 5: Solve for x
    x = 2,733,969,654,784/753,008
  6. Step 6: Final answer
    x = 3,630,731.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.