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Finding the Third Proportional to 589,854 and 887,700

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Solution

The third proportional to 589,854 and 887,700 is: 1,335,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,854 : 887,700 = 887,700 : x
  2. Step 2: Convert to fraction form
    589,854/887,700 = 887,700/x
  3. Step 3: Cross multiply
    589,854x = 887,700 × 887,700
  4. Step 4: Simplify right side
    589,854x = 788,011,290,000
  5. Step 5: Solve for x
    x = 788,011,290,000/589,854
  6. Step 6: Final answer
    x = 1,335,942.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.