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Finding the Third Proportional to 1,023,712 and 1,605,756

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Solution

The third proportional to 1,023,712 and 1,605,756 is: 2,518,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,712 : 1,605,756 = 1,605,756 : x
  2. Step 2: Convert to fraction form
    1,023,712/1,605,756 = 1,605,756/x
  3. Step 3: Cross multiply
    1,023,712x = 1,605,756 × 1,605,756
  4. Step 4: Simplify right side
    1,023,712x = 2,578,452,331,536
  5. Step 5: Solve for x
    x = 2,578,452,331,536/1,023,712
  6. Step 6: Final answer
    x = 2,518,728.25

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