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Finding the Third Proportional to 2,869,742 and 6,299,284

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Solution

The third proportional to 2,869,742 and 6,299,284 is: 13,827,368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869,742 : 6,299,284 = 6,299,284 : x
  2. Step 2: Convert to fraction form
    2,869,742/6,299,284 = 6,299,284/x
  3. Step 3: Cross multiply
    2,869,742x = 6,299,284 × 6,299,284
  4. Step 4: Simplify right side
    2,869,742x = 39,680,978,912,656
  5. Step 5: Solve for x
    x = 39,680,978,912,656/2,869,742
  6. Step 6: Final answer
    x = 13,827,368.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.