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Finding the Third Proportional to 895,302 and 1,942,008

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Solution

The third proportional to 895,302 and 1,942,008 is: 4,212,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,302 : 1,942,008 = 1,942,008 : x
  2. Step 2: Convert to fraction form
    895,302/1,942,008 = 1,942,008/x
  3. Step 3: Cross multiply
    895,302x = 1,942,008 × 1,942,008
  4. Step 4: Simplify right side
    895,302x = 3,771,395,072,064
  5. Step 5: Solve for x
    x = 3,771,395,072,064/895,302
  6. Step 6: Final answer
    x = 4,212,427.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.