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Finding the Third Proportional to 788,022 and 1,187,865

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Solution

The third proportional to 788,022 and 1,187,865 is: 1,790,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,022 : 1,187,865 = 1,187,865 : x
  2. Step 2: Convert to fraction form
    788,022/1,187,865 = 1,187,865/x
  3. Step 3: Cross multiply
    788,022x = 1,187,865 × 1,187,865
  4. Step 4: Simplify right side
    788,022x = 1,411,023,258,225
  5. Step 5: Solve for x
    x = 1,411,023,258,225/788,022
  6. Step 6: Final answer
    x = 1,790,588.66

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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.