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Finding the Third Proportional to 460,536 and 1,028,136

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Solution

The third proportional to 460,536 and 1,028,136 is: 2,295,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,536 : 1,028,136 = 1,028,136 : x
  2. Step 2: Convert to fraction form
    460,536/1,028,136 = 1,028,136/x
  3. Step 3: Cross multiply
    460,536x = 1,028,136 × 1,028,136
  4. Step 4: Simplify right side
    460,536x = 1,057,063,634,496
  5. Step 5: Solve for x
    x = 1,057,063,634,496/460,536
  6. Step 6: Final answer
    x = 2,295,289.91

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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.