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Finding the Third Proportional to 783,078 and 1,709,966.50

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Solution

The third proportional to 783,078 and 1,709,966.50 is: 3,733,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,078 : 1,709,966.50 = 1,709,966.50 : x
  2. Step 2: Convert to fraction form
    783,078/1,709,966.50 = 1,709,966.50/x
  3. Step 3: Cross multiply
    783,078x = 1,709,966.50 × 1,709,966.50
  4. Step 4: Simplify right side
    783,078x = 2,923,985,431,122.25
  5. Step 5: Solve for x
    x = 2,923,985,431,122.25/783,078
  6. Step 6: Final answer
    x = 3,733,964.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.