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Finding the Third Proportional to 445,046 and 986,184

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Solution

The third proportional to 445,046 and 986,184 is: 2,185,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,046 : 986,184 = 986,184 : x
  2. Step 2: Convert to fraction form
    445,046/986,184 = 986,184/x
  3. Step 3: Cross multiply
    445,046x = 986,184 × 986,184
  4. Step 4: Simplify right side
    445,046x = 972,558,881,856
  5. Step 5: Solve for x
    x = 972,558,881,856/445,046
  6. Step 6: Final answer
    x = 2,185,299.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.