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Finding the Third Proportional to 1,890,250 and 4,147,946

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Solution

The third proportional to 1,890,250 and 4,147,946 is: 9,102,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890,250 : 4,147,946 = 4,147,946 : x
  2. Step 2: Convert to fraction form
    1,890,250/4,147,946 = 4,147,946/x
  3. Step 3: Cross multiply
    1,890,250x = 4,147,946 × 4,147,946
  4. Step 4: Simplify right side
    1,890,250x = 17,205,456,018,916
  5. Step 5: Solve for x
    x = 17,205,456,018,916/1,890,250
  6. Step 6: Final answer
    x = 9,102,211.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.