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Finding the Third Proportional to 489,712 and 1,023,704

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Solution

The third proportional to 489,712 and 1,023,704 is: 2,139,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,712 : 1,023,704 = 1,023,704 : x
  2. Step 2: Convert to fraction form
    489,712/1,023,704 = 1,023,704/x
  3. Step 3: Cross multiply
    489,712x = 1,023,704 × 1,023,704
  4. Step 4: Simplify right side
    489,712x = 1,047,969,879,616
  5. Step 5: Solve for x
    x = 1,047,969,879,616/489,712
  6. Step 6: Final answer
    x = 2,139,971.82

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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.