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Finding the Third Proportional to 785,034 and 1,245,087

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Solution

The third proportional to 785,034 and 1,245,087 is: 1,974,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,034 : 1,245,087 = 1,245,087 : x
  2. Step 2: Convert to fraction form
    785,034/1,245,087 = 1,245,087/x
  3. Step 3: Cross multiply
    785,034x = 1,245,087 × 1,245,087
  4. Step 4: Simplify right side
    785,034x = 1,550,241,637,569
  5. Step 5: Solve for x
    x = 1,550,241,637,569/785,034
  6. Step 6: Final answer
    x = 1,974,744.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.