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Finding the Third Proportional to 440,064 and 962,560

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Solution

The third proportional to 440,064 and 962,560 is: 2,105,425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,064 : 962,560 = 962,560 : x
  2. Step 2: Convert to fraction form
    440,064/962,560 = 962,560/x
  3. Step 3: Cross multiply
    440,064x = 962,560 × 962,560
  4. Step 4: Simplify right side
    440,064x = 926,521,753,600
  5. Step 5: Solve for x
    x = 926,521,753,600/440,064
  6. Step 6: Final answer
    x = 2,105,425.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.