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Finding the Third Proportional to 802,292 and 1,762,057

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Solution

The third proportional to 802,292 and 1,762,057 is: 3,869,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,292 : 1,762,057 = 1,762,057 : x
  2. Step 2: Convert to fraction form
    802,292/1,762,057 = 1,762,057/x
  3. Step 3: Cross multiply
    802,292x = 1,762,057 × 1,762,057
  4. Step 4: Simplify right side
    802,292x = 3,104,844,871,249
  5. Step 5: Solve for x
    x = 3,104,844,871,249/802,292
  6. Step 6: Final answer
    x = 3,869,968.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.