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Finding the Third Proportional to 1,302,109 and 2,856,340.25

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Solution

The third proportional to 1,302,109 and 2,856,340.25 is: 6,265,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,109 : 2,856,340.25 = 2,856,340.25 : x
  2. Step 2: Convert to fraction form
    1,302,109/2,856,340.25 = 2,856,340.25/x
  3. Step 3: Cross multiply
    1,302,109x = 2,856,340.25 × 2,856,340.25
  4. Step 4: Simplify right side
    1,302,109x = 8,158,679,623,770.06
  5. Step 5: Solve for x
    x = 8,158,679,623,770.06/1,302,109
  6. Step 6: Final answer
    x = 6,265,742.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.