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Finding the Third Proportional to 590,484 and 940,023

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Solution

The third proportional to 590,484 and 940,023 is: 1,496,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,484 : 940,023 = 940,023 : x
  2. Step 2: Convert to fraction form
    590,484/940,023 = 940,023/x
  3. Step 3: Cross multiply
    590,484x = 940,023 × 940,023
  4. Step 4: Simplify right side
    590,484x = 883,643,240,529
  5. Step 5: Solve for x
    x = 883,643,240,529/590,484
  6. Step 6: Final answer
    x = 1,496,472.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.