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Finding the Third Proportional to 777,114 and 1,734,898.50

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Solution

The third proportional to 777,114 and 1,734,898.50 is: 3,873,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,114 : 1,734,898.50 = 1,734,898.50 : x
  2. Step 2: Convert to fraction form
    777,114/1,734,898.50 = 1,734,898.50/x
  3. Step 3: Cross multiply
    777,114x = 1,734,898.50 × 1,734,898.50
  4. Step 4: Simplify right side
    777,114x = 3,009,872,805,302.25
  5. Step 5: Solve for x
    x = 3,009,872,805,302.25/777,114
  6. Step 6: Final answer
    x = 3,873,141.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.