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Finding the Third Proportional to 1,261,854 and 1,907,837

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Solution

The third proportional to 1,261,854 and 1,907,837 is: 2,884,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,854 : 1,907,837 = 1,907,837 : x
  2. Step 2: Convert to fraction form
    1,261,854/1,907,837 = 1,907,837/x
  3. Step 3: Cross multiply
    1,261,854x = 1,907,837 × 1,907,837
  4. Step 4: Simplify right side
    1,261,854x = 3,639,842,018,569
  5. Step 5: Solve for x
    x = 3,639,842,018,569/1,261,854
  6. Step 6: Final answer
    x = 2,884,519.14

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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.