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Finding the Third Proportional to 1,189,966 and 2,569,297

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Solution

The third proportional to 1,189,966 and 2,569,297 is: 5,547,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,966 : 2,569,297 = 2,569,297 : x
  2. Step 2: Convert to fraction form
    1,189,966/2,569,297 = 2,569,297/x
  3. Step 3: Cross multiply
    1,189,966x = 2,569,297 × 2,569,297
  4. Step 4: Simplify right side
    1,189,966x = 6,601,287,074,209
  5. Step 5: Solve for x
    x = 6,601,287,074,209/1,189,966
  6. Step 6: Final answer
    x = 5,547,458.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.