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Finding the Third Proportional to 1,251,784 and 1,883,664

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Solution

The third proportional to 1,251,784 and 1,883,664 is: 2,834,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,784 : 1,883,664 = 1,883,664 : x
  2. Step 2: Convert to fraction form
    1,251,784/1,883,664 = 1,883,664/x
  3. Step 3: Cross multiply
    1,251,784x = 1,883,664 × 1,883,664
  4. Step 4: Simplify right side
    1,251,784x = 3,548,190,064,896
  5. Step 5: Solve for x
    x = 3,548,190,064,896/1,251,784
  6. Step 6: Final answer
    x = 2,834,506.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.