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Finding the Third Proportional to 985,288 and 1,496,437

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Solution

The third proportional to 985,288 and 1,496,437 is: 2,272,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,288 : 1,496,437 = 1,496,437 : x
  2. Step 2: Convert to fraction form
    985,288/1,496,437 = 1,496,437/x
  3. Step 3: Cross multiply
    985,288x = 1,496,437 × 1,496,437
  4. Step 4: Simplify right side
    985,288x = 2,239,323,694,969
  5. Step 5: Solve for x
    x = 2,239,323,694,969/985,288
  6. Step 6: Final answer
    x = 2,272,760.55

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Why These Related Problems?

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