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Finding the Third Proportional to 774,333 and 1,660,807.13

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Solution

The third proportional to 774,333 and 1,660,807.13 is: 3,562,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,333 : 1,660,807.13 = 1,660,807.13 : x
  2. Step 2: Convert to fraction form
    774,333/1,660,807.13 = 1,660,807.13/x
  3. Step 3: Cross multiply
    774,333x = 1,660,807.13 × 1,660,807.13
  4. Step 4: Simplify right side
    774,333x = 2,758,280,306,450.77
  5. Step 5: Solve for x
    x = 2,758,280,306,450.77/774,333
  6. Step 6: Final answer
    x = 3,562,137.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.