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Finding the Third Proportional to 958,102 and 1,502,977

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Solution

The third proportional to 958,102 and 1,502,977 is: 2,357,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    958,102 : 1,502,977 = 1,502,977 : x
  2. Step 2: Convert to fraction form
    958,102/1,502,977 = 1,502,977/x
  3. Step 3: Cross multiply
    958,102x = 1,502,977 × 1,502,977
  4. Step 4: Simplify right side
    958,102x = 2,258,939,862,529
  5. Step 5: Solve for x
    x = 2,258,939,862,529/958,102
  6. Step 6: Final answer
    x = 2,357,723.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.