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Finding the Third Proportional to 596,984 and 842,011

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Solution

The third proportional to 596,984 and 842,011 is: 1,187,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,984 : 842,011 = 842,011 : x
  2. Step 2: Convert to fraction form
    596,984/842,011 = 842,011/x
  3. Step 3: Cross multiply
    596,984x = 842,011 × 842,011
  4. Step 4: Simplify right side
    596,984x = 708,982,524,121
  5. Step 5: Solve for x
    x = 708,982,524,121/596,984
  6. Step 6: Final answer
    x = 1,187,607.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.