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Finding the Third Proportional to 2,142,386 and 2,843,235

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Solution

The third proportional to 2,142,386 and 2,843,235 is: 3,773,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,386 : 2,843,235 = 2,843,235 : x
  2. Step 2: Convert to fraction form
    2,142,386/2,843,235 = 2,843,235/x
  3. Step 3: Cross multiply
    2,142,386x = 2,843,235 × 2,843,235
  4. Step 4: Simplify right side
    2,142,386x = 8,083,985,265,225
  5. Step 5: Solve for x
    x = 8,083,985,265,225/2,142,386
  6. Step 6: Final answer
    x = 3,773,356.09

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.