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Finding the Third Proportional to 665,476.50 and 1,022,907

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Solution

The third proportional to 665,476.50 and 1,022,907 is: 1,572,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,476.50 : 1,022,907 = 1,022,907 : x
  2. Step 2: Convert to fraction form
    665,476.50/1,022,907 = 1,022,907/x
  3. Step 3: Cross multiply
    665,476.50x = 1,022,907 × 1,022,907
  4. Step 4: Simplify right side
    665,476.50x = 1,046,338,730,649
  5. Step 5: Solve for x
    x = 1,046,338,730,649/665,476.50
  6. Step 6: Final answer
    x = 1,572,315.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.