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Finding the Third Proportional to 786,357 and 1,186,033.50

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Solution

The third proportional to 786,357 and 1,186,033.50 is: 1,788,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,357 : 1,186,033.50 = 1,186,033.50 : x
  2. Step 2: Convert to fraction form
    786,357/1,186,033.50 = 1,186,033.50/x
  3. Step 3: Cross multiply
    786,357x = 1,186,033.50 × 1,186,033.50
  4. Step 4: Simplify right side
    786,357x = 1,406,675,463,122.25
  5. Step 5: Solve for x
    x = 1,406,675,463,122.25/786,357
  6. Step 6: Final answer
    x = 1,788,850.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.