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Finding the Third Proportional to 2,021,857.50 and 4,414,209

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Solution

The third proportional to 2,021,857.50 and 4,414,209 is: 9,637,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,857.50 : 4,414,209 = 4,414,209 : x
  2. Step 2: Convert to fraction form
    2,021,857.50/4,414,209 = 4,414,209/x
  3. Step 3: Cross multiply
    2,021,857.50x = 4,414,209 × 4,414,209
  4. Step 4: Simplify right side
    2,021,857.50x = 19,485,241,095,681
  5. Step 5: Solve for x
    x = 19,485,241,095,681/2,021,857.50
  6. Step 6: Final answer
    x = 9,637,296.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.