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Finding the Third Proportional to 1,155,467 and 1,690,412

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Solution

The third proportional to 1,155,467 and 1,690,412 is: 2,473,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155,467 : 1,690,412 = 1,690,412 : x
  2. Step 2: Convert to fraction form
    1,155,467/1,690,412 = 1,690,412/x
  3. Step 3: Cross multiply
    1,155,467x = 1,690,412 × 1,690,412
  4. Step 4: Simplify right side
    1,155,467x = 2,857,492,729,744
  5. Step 5: Solve for x
    x = 2,857,492,729,744/1,155,467
  6. Step 6: Final answer
    x = 2,473,019.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.