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Finding the Third Proportional to 1,025,209 and 2,395,351

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Solution

The third proportional to 1,025,209 and 2,395,351 is: 5,596,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,209 : 2,395,351 = 2,395,351 : x
  2. Step 2: Convert to fraction form
    1,025,209/2,395,351 = 2,395,351/x
  3. Step 3: Cross multiply
    1,025,209x = 2,395,351 × 2,395,351
  4. Step 4: Simplify right side
    1,025,209x = 5,737,706,413,201
  5. Step 5: Solve for x
    x = 5,737,706,413,201/1,025,209
  6. Step 6: Final answer
    x = 5,596,621.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.