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Finding the Third Proportional to 467,446 and 1,004,712

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Solution

The third proportional to 467,446 and 1,004,712 is: 2,159,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,446 : 1,004,712 = 1,004,712 : x
  2. Step 2: Convert to fraction form
    467,446/1,004,712 = 1,004,712/x
  3. Step 3: Cross multiply
    467,446x = 1,004,712 × 1,004,712
  4. Step 4: Simplify right side
    467,446x = 1,009,446,202,944
  5. Step 5: Solve for x
    x = 1,009,446,202,944/467,446
  6. Step 6: Final answer
    x = 2,159,492.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.