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Finding the Third Proportional to 1,235,788 and 2,707,784

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Solution

The third proportional to 1,235,788 and 2,707,784 is: 5,933,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,788 : 2,707,784 = 2,707,784 : x
  2. Step 2: Convert to fraction form
    1,235,788/2,707,784 = 2,707,784/x
  3. Step 3: Cross multiply
    1,235,788x = 2,707,784 × 2,707,784
  4. Step 4: Simplify right side
    1,235,788x = 7,332,094,190,656
  5. Step 5: Solve for x
    x = 7,332,094,190,656/1,235,788
  6. Step 6: Final answer
    x = 5,933,132.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.