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Finding the Third Proportional to 1,877,734 and 2,825,584

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Solution

The third proportional to 1,877,734 and 2,825,584 is: 4,251,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877,734 : 2,825,584 = 2,825,584 : x
  2. Step 2: Convert to fraction form
    1,877,734/2,825,584 = 2,825,584/x
  3. Step 3: Cross multiply
    1,877,734x = 2,825,584 × 2,825,584
  4. Step 4: Simplify right side
    1,877,734x = 7,983,924,941,056
  5. Step 5: Solve for x
    x = 7,983,924,941,056/1,877,734
  6. Step 6: Final answer
    x = 4,251,893.47

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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.