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Finding the Third Proportional to 985,286 and 1,496,434

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Solution

The third proportional to 985,286 and 1,496,434 is: 2,272,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,286 : 1,496,434 = 1,496,434 : x
  2. Step 2: Convert to fraction form
    985,286/1,496,434 = 1,496,434/x
  3. Step 3: Cross multiply
    985,286x = 1,496,434 × 1,496,434
  4. Step 4: Simplify right side
    985,286x = 2,239,314,716,356
  5. Step 5: Solve for x
    x = 2,239,314,716,356/985,286
  6. Step 6: Final answer
    x = 2,272,756.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.