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Finding the Third Proportional to 1,156,044 and 1,534,338

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Solution

The third proportional to 1,156,044 and 1,534,338 is: 2,036,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,044 : 1,534,338 = 1,534,338 : x
  2. Step 2: Convert to fraction form
    1,156,044/1,534,338 = 1,534,338/x
  3. Step 3: Cross multiply
    1,156,044x = 1,534,338 × 1,534,338
  4. Step 4: Simplify right side
    1,156,044x = 2,354,193,098,244
  5. Step 5: Solve for x
    x = 2,354,193,098,244/1,156,044
  6. Step 6: Final answer
    x = 2,036,421.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.