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Finding the Third Proportional to 1,281,984 and 1,856,832

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Solution

The third proportional to 1,281,984 and 1,856,832 is: 2,689,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,984 : 1,856,832 = 1,856,832 : x
  2. Step 2: Convert to fraction form
    1,281,984/1,856,832 = 1,856,832/x
  3. Step 3: Cross multiply
    1,281,984x = 1,856,832 × 1,856,832
  4. Step 4: Simplify right side
    1,281,984x = 3,447,825,076,224
  5. Step 5: Solve for x
    x = 3,447,825,076,224/1,281,984
  6. Step 6: Final answer
    x = 2,689,444.70

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.