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Finding the Third Proportional to 779,632 and 1,679,576

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Solution

The third proportional to 779,632 and 1,679,576 is: 3,618,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,632 : 1,679,576 = 1,679,576 : x
  2. Step 2: Convert to fraction form
    779,632/1,679,576 = 1,679,576/x
  3. Step 3: Cross multiply
    779,632x = 1,679,576 × 1,679,576
  4. Step 4: Simplify right side
    779,632x = 2,820,975,539,776
  5. Step 5: Solve for x
    x = 2,820,975,539,776/779,632
  6. Step 6: Final answer
    x = 3,618,342.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.