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Finding the Third Proportional to 895,314 and 1,942,032

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Solution

The third proportional to 895,314 and 1,942,032 is: 4,212,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,314 : 1,942,032 = 1,942,032 : x
  2. Step 2: Convert to fraction form
    895,314/1,942,032 = 1,942,032/x
  3. Step 3: Cross multiply
    895,314x = 1,942,032 × 1,942,032
  4. Step 4: Simplify right side
    895,314x = 3,771,488,289,024
  5. Step 5: Solve for x
    x = 3,771,488,289,024/895,314
  6. Step 6: Final answer
    x = 4,212,475.50

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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.