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Finding the Third Proportional to 1,736,049.75 and 2,654,105.63

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Solution

The third proportional to 1,736,049.75 and 2,654,105.63 is: 4,057,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,049.75 : 2,654,105.63 = 2,654,105.63 : x
  2. Step 2: Convert to fraction form
    1,736,049.75/2,654,105.63 = 2,654,105.63/x
  3. Step 3: Cross multiply
    1,736,049.75x = 2,654,105.63 × 2,654,105.63
  4. Step 4: Simplify right side
    1,736,049.75x = 7,044,276,668,656.64
  5. Step 5: Solve for x
    x = 7,044,276,668,656.64/1,736,049.75
  6. Step 6: Final answer
    x = 4,057,646.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.