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Finding the Third Proportional to 1,429,042 and 2,211,747

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Solution

The third proportional to 1,429,042 and 2,211,747 is: 3,423,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,042 : 2,211,747 = 2,211,747 : x
  2. Step 2: Convert to fraction form
    1,429,042/2,211,747 = 2,211,747/x
  3. Step 3: Cross multiply
    1,429,042x = 2,211,747 × 2,211,747
  4. Step 4: Simplify right side
    1,429,042x = 4,891,824,792,009
  5. Step 5: Solve for x
    x = 4,891,824,792,009/1,429,042
  6. Step 6: Final answer
    x = 3,423,149.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.