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Finding the Third Proportional to 1,999,584 and 2,857,410

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Solution

The third proportional to 1,999,584 and 2,857,410 is: 4,083,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999,584 : 2,857,410 = 2,857,410 : x
  2. Step 2: Convert to fraction form
    1,999,584/2,857,410 = 2,857,410/x
  3. Step 3: Cross multiply
    1,999,584x = 2,857,410 × 2,857,410
  4. Step 4: Simplify right side
    1,999,584x = 8,164,791,908,100
  5. Step 5: Solve for x
    x = 8,164,791,908,100/1,999,584
  6. Step 6: Final answer
    x = 4,083,245.27

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.