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Finding the Third Proportional to 890,896 and 1,942,592

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Solution

The third proportional to 890,896 and 1,942,592 is: 4,235,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,896 : 1,942,592 = 1,942,592 : x
  2. Step 2: Convert to fraction form
    890,896/1,942,592 = 1,942,592/x
  3. Step 3: Cross multiply
    890,896x = 1,942,592 × 1,942,592
  4. Step 4: Simplify right side
    890,896x = 3,773,663,678,464
  5. Step 5: Solve for x
    x = 3,773,663,678,464/890,896
  6. Step 6: Final answer
    x = 4,235,807.19

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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.