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Finding the Third Proportional to 1,822,364 and 2,829,057

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Solution

The third proportional to 1,822,364 and 2,829,057 is: 4,391,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,364 : 2,829,057 = 2,829,057 : x
  2. Step 2: Convert to fraction form
    1,822,364/2,829,057 = 2,829,057/x
  3. Step 3: Cross multiply
    1,822,364x = 2,829,057 × 2,829,057
  4. Step 4: Simplify right side
    1,822,364x = 8,003,563,509,249
  5. Step 5: Solve for x
    x = 8,003,563,509,249/1,822,364
  6. Step 6: Final answer
    x = 4,391,857.78

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Why These Related Problems?

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