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Finding the Third Proportional to 2,299,311 and 4,746,222

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Solution

The third proportional to 2,299,311 and 4,746,222 is: 9,797,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,311 : 4,746,222 = 4,746,222 : x
  2. Step 2: Convert to fraction form
    2,299,311/4,746,222 = 4,746,222/x
  3. Step 3: Cross multiply
    2,299,311x = 4,746,222 × 4,746,222
  4. Step 4: Simplify right side
    2,299,311x = 22,526,623,273,284
  5. Step 5: Solve for x
    x = 22,526,623,273,284/2,299,311
  6. Step 6: Final answer
    x = 9,797,118.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.