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Finding the Third Proportional to 426,984 and 929,136

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Solution

The third proportional to 426,984 and 929,136 is: 2,021,840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,984 : 929,136 = 929,136 : x
  2. Step 2: Convert to fraction form
    426,984/929,136 = 929,136/x
  3. Step 3: Cross multiply
    426,984x = 929,136 × 929,136
  4. Step 4: Simplify right side
    426,984x = 863,293,706,496
  5. Step 5: Solve for x
    x = 863,293,706,496/426,984
  6. Step 6: Final answer
    x = 2,021,840.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.