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Finding the Third Proportional to 660,450 and 1,020,441

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Solution

The third proportional to 660,450 and 1,020,441 is: 1,576,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,450 : 1,020,441 = 1,020,441 : x
  2. Step 2: Convert to fraction form
    660,450/1,020,441 = 1,020,441/x
  3. Step 3: Cross multiply
    660,450x = 1,020,441 × 1,020,441
  4. Step 4: Simplify right side
    660,450x = 1,041,299,834,481
  5. Step 5: Solve for x
    x = 1,041,299,834,481/660,450
  6. Step 6: Final answer
    x = 1,576,652.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.