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Finding the Third Proportional to 590,490 and 940,032

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Solution

The third proportional to 590,490 and 940,032 is: 1,496,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,490 : 940,032 = 940,032 : x
  2. Step 2: Convert to fraction form
    590,490/940,032 = 940,032/x
  3. Step 3: Cross multiply
    590,490x = 940,032 × 940,032
  4. Step 4: Simplify right side
    590,490x = 883,660,161,024
  5. Step 5: Solve for x
    x = 883,660,161,024/590,490
  6. Step 6: Final answer
    x = 1,496,486.24

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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.