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Finding the Third Proportional to 469,640 and 1,023,642

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Solution

The third proportional to 469,640 and 1,023,642 is: 2,231,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,640 : 1,023,642 = 1,023,642 : x
  2. Step 2: Convert to fraction form
    469,640/1,023,642 = 1,023,642/x
  3. Step 3: Cross multiply
    469,640x = 1,023,642 × 1,023,642
  4. Step 4: Simplify right side
    469,640x = 1,047,842,944,164
  5. Step 5: Solve for x
    x = 1,047,842,944,164/469,640
  6. Step 6: Final answer
    x = 2,231,162.05

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