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Finding the Third Proportional to 590,482 and 940,020

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Solution

The third proportional to 590,482 and 940,020 is: 1,496,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,482 : 940,020 = 940,020 : x
  2. Step 2: Convert to fraction form
    590,482/940,020 = 940,020/x
  3. Step 3: Cross multiply
    590,482x = 940,020 × 940,020
  4. Step 4: Simplify right side
    590,482x = 883,637,600,400
  5. Step 5: Solve for x
    x = 883,637,600,400/590,482
  6. Step 6: Final answer
    x = 1,496,468.31

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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.