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Finding the Third Proportional to 544,742 and 840,087

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Solution

The third proportional to 544,742 and 840,087 is: 1,295,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,742 : 840,087 = 840,087 : x
  2. Step 2: Convert to fraction form
    544,742/840,087 = 840,087/x
  3. Step 3: Cross multiply
    544,742x = 840,087 × 840,087
  4. Step 4: Simplify right side
    544,742x = 705,746,167,569
  5. Step 5: Solve for x
    x = 705,746,167,569/544,742
  6. Step 6: Final answer
    x = 1,295,560.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.