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Finding the Third Proportional to 4,926,332 and 7,844,823

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Solution

The third proportional to 4,926,332 and 7,844,823 is: 12,492,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926,332 : 7,844,823 = 7,844,823 : x
  2. Step 2: Convert to fraction form
    4,926,332/7,844,823 = 7,844,823/x
  3. Step 3: Cross multiply
    4,926,332x = 7,844,823 × 7,844,823
  4. Step 4: Simplify right side
    4,926,332x = 61,541,247,901,329
  5. Step 5: Solve for x
    x = 61,541,247,901,329/4,926,332
  6. Step 6: Final answer
    x = 12,492,306.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.