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Finding the Third Proportional to 1,086,819 and 1,596,972

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Solution

The third proportional to 1,086,819 and 1,596,972 is: 2,346,590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,819 : 1,596,972 = 1,596,972 : x
  2. Step 2: Convert to fraction form
    1,086,819/1,596,972 = 1,596,972/x
  3. Step 3: Cross multiply
    1,086,819x = 1,596,972 × 1,596,972
  4. Step 4: Simplify right side
    1,086,819x = 2,550,319,568,784
  5. Step 5: Solve for x
    x = 2,550,319,568,784/1,086,819
  6. Step 6: Final answer
    x = 2,346,590.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.