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Finding the Third Proportional to 1,023,696 and 1,605,730.50

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Solution

The third proportional to 1,023,696 and 1,605,730.50 is: 2,518,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,696 : 1,605,730.50 = 1,605,730.50 : x
  2. Step 2: Convert to fraction form
    1,023,696/1,605,730.50 = 1,605,730.50/x
  3. Step 3: Cross multiply
    1,023,696x = 1,605,730.50 × 1,605,730.50
  4. Step 4: Simplify right side
    1,023,696x = 2,578,370,438,630.25
  5. Step 5: Solve for x
    x = 2,578,370,438,630.25/1,023,696
  6. Step 6: Final answer
    x = 2,518,687.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.