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Finding the Third Proportional to 585,021 and 898,820

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Solution

The third proportional to 585,021 and 898,820 is: 1,380,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,021 : 898,820 = 898,820 : x
  2. Step 2: Convert to fraction form
    585,021/898,820 = 898,820/x
  3. Step 3: Cross multiply
    585,021x = 898,820 × 898,820
  4. Step 4: Simplify right side
    585,021x = 807,877,392,400
  5. Step 5: Solve for x
    x = 807,877,392,400/585,021
  6. Step 6: Final answer
    x = 1,380,937.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.