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Finding the Third Proportional to 1,006,208 and 2,169,216

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Solution

The third proportional to 1,006,208 and 2,169,216 is: 4,676,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,208 : 2,169,216 = 2,169,216 : x
  2. Step 2: Convert to fraction form
    1,006,208/2,169,216 = 2,169,216/x
  3. Step 3: Cross multiply
    1,006,208x = 2,169,216 × 2,169,216
  4. Step 4: Simplify right side
    1,006,208x = 4,705,498,054,656
  5. Step 5: Solve for x
    x = 4,705,498,054,656/1,006,208
  6. Step 6: Final answer
    x = 4,676,466.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.