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Finding the Third Proportional to 1,427,850 and 3,116,143

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Solution

The third proportional to 1,427,850 and 3,116,143 is: 6,800,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,850 : 3,116,143 = 3,116,143 : x
  2. Step 2: Convert to fraction form
    1,427,850/3,116,143 = 3,116,143/x
  3. Step 3: Cross multiply
    1,427,850x = 3,116,143 × 3,116,143
  4. Step 4: Simplify right side
    1,427,850x = 9,710,347,196,449
  5. Step 5: Solve for x
    x = 9,710,347,196,449/1,427,850
  6. Step 6: Final answer
    x = 6,800,677.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.