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Finding the Third Proportional to 1,155,796 and 1,533,609

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Solution

The third proportional to 1,155,796 and 1,533,609 is: 2,034,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155,796 : 1,533,609 = 1,533,609 : x
  2. Step 2: Convert to fraction form
    1,155,796/1,533,609 = 1,533,609/x
  3. Step 3: Cross multiply
    1,155,796x = 1,533,609 × 1,533,609
  4. Step 4: Simplify right side
    1,155,796x = 2,351,956,564,881
  5. Step 5: Solve for x
    x = 2,351,956,564,881/1,155,796
  6. Step 6: Final answer
    x = 2,034,923.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.