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Finding the Third Proportional to 541,894 and 805,011

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Solution

The third proportional to 541,894 and 805,011 is: 1,195,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,894 : 805,011 = 805,011 : x
  2. Step 2: Convert to fraction form
    541,894/805,011 = 805,011/x
  3. Step 3: Cross multiply
    541,894x = 805,011 × 805,011
  4. Step 4: Simplify right side
    541,894x = 648,042,710,121
  5. Step 5: Solve for x
    x = 648,042,710,121/541,894
  6. Step 6: Final answer
    x = 1,195,884.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.