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Finding the Third Proportional to 1,697,870 and 2,523,723

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Solution

The third proportional to 1,697,870 and 2,523,723 is: 3,751,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,870 : 2,523,723 = 2,523,723 : x
  2. Step 2: Convert to fraction form
    1,697,870/2,523,723 = 2,523,723/x
  3. Step 3: Cross multiply
    1,697,870x = 2,523,723 × 2,523,723
  4. Step 4: Simplify right side
    1,697,870x = 6,369,177,780,729
  5. Step 5: Solve for x
    x = 6,369,177,780,729/1,697,870
  6. Step 6: Final answer
    x = 3,751,275.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.