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Finding the Third Proportional to 802,136 and 1,783,582

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Solution

The third proportional to 802,136 and 1,783,582 is: 3,965,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,136 : 1,783,582 = 1,783,582 : x
  2. Step 2: Convert to fraction form
    802,136/1,783,582 = 1,783,582/x
  3. Step 3: Cross multiply
    802,136x = 1,783,582 × 1,783,582
  4. Step 4: Simplify right side
    802,136x = 3,181,164,750,724
  5. Step 5: Solve for x
    x = 3,181,164,750,724/802,136
  6. Step 6: Final answer
    x = 3,965,867.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.