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Finding the Third Proportional to 489,716 and 1,023,712

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Solution

The third proportional to 489,716 and 1,023,712 is: 2,139,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,716 : 1,023,712 = 1,023,712 : x
  2. Step 2: Convert to fraction form
    489,716/1,023,712 = 1,023,712/x
  3. Step 3: Cross multiply
    489,716x = 1,023,712 × 1,023,712
  4. Step 4: Simplify right side
    489,716x = 1,047,986,258,944
  5. Step 5: Solve for x
    x = 1,047,986,258,944/489,716
  6. Step 6: Final answer
    x = 2,139,987.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.