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Finding the Third Proportional to 559,698 and 887,682

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Solution

The third proportional to 559,698 and 887,682 is: 1,407,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,698 : 887,682 = 887,682 : x
  2. Step 2: Convert to fraction form
    559,698/887,682 = 887,682/x
  3. Step 3: Cross multiply
    559,698x = 887,682 × 887,682
  4. Step 4: Simplify right side
    559,698x = 787,979,333,124
  5. Step 5: Solve for x
    x = 787,979,333,124/559,698
  6. Step 6: Final answer
    x = 1,407,865.19

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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.