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Finding the Third Proportional to 467,346 and 1,016,712

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Solution

The third proportional to 467,346 and 1,016,712 is: 2,211,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,346 : 1,016,712 = 1,016,712 : x
  2. Step 2: Convert to fraction form
    467,346/1,016,712 = 1,016,712/x
  3. Step 3: Cross multiply
    467,346x = 1,016,712 × 1,016,712
  4. Step 4: Simplify right side
    467,346x = 1,033,703,290,944
  5. Step 5: Solve for x
    x = 1,033,703,290,944/467,346
  6. Step 6: Final answer
    x = 2,211,858.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.