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Finding the Third Proportional to 459,304 and 985,044

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Solution

The third proportional to 459,304 and 985,044 is: 2,112,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,304 : 985,044 = 985,044 : x
  2. Step 2: Convert to fraction form
    459,304/985,044 = 985,044/x
  3. Step 3: Cross multiply
    459,304x = 985,044 × 985,044
  4. Step 4: Simplify right side
    459,304x = 970,311,681,936
  5. Step 5: Solve for x
    x = 970,311,681,936/459,304
  6. Step 6: Final answer
    x = 2,112,569.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.