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Finding the Third Proportional to 698,164 and 1,448,136

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Solution

The third proportional to 698,164 and 1,448,136 is: 3,003,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,164 : 1,448,136 = 1,448,136 : x
  2. Step 2: Convert to fraction form
    698,164/1,448,136 = 1,448,136/x
  3. Step 3: Cross multiply
    698,164x = 1,448,136 × 1,448,136
  4. Step 4: Simplify right side
    698,164x = 2,097,097,874,496
  5. Step 5: Solve for x
    x = 2,097,097,874,496/698,164
  6. Step 6: Final answer
    x = 3,003,732.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.