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Finding the Third Proportional to 963,576 and 2,075,148

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Solution

The third proportional to 963,576 and 2,075,148 is: 4,469,018.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,576 : 2,075,148 = 2,075,148 : x
  2. Step 2: Convert to fraction form
    963,576/2,075,148 = 2,075,148/x
  3. Step 3: Cross multiply
    963,576x = 2,075,148 × 2,075,148
  4. Step 4: Simplify right side
    963,576x = 4,306,239,221,904
  5. Step 5: Solve for x
    x = 4,306,239,221,904/963,576
  6. Step 6: Final answer
    x = 4,469,018.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.