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Finding the Third Proportional to 1,697,870 and 2,568,672

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Solution

The third proportional to 1,697,870 and 2,568,672 is: 3,886,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,870 : 2,568,672 = 2,568,672 : x
  2. Step 2: Convert to fraction form
    1,697,870/2,568,672 = 2,568,672/x
  3. Step 3: Cross multiply
    1,697,870x = 2,568,672 × 2,568,672
  4. Step 4: Simplify right side
    1,697,870x = 6,598,075,843,584
  5. Step 5: Solve for x
    x = 6,598,075,843,584/1,697,870
  6. Step 6: Final answer
    x = 3,886,090.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.