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Finding the Third Proportional to 437,836 and 945,528

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Solution

The third proportional to 437,836 and 945,528 is: 2,041,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,836 : 945,528 = 945,528 : x
  2. Step 2: Convert to fraction form
    437,836/945,528 = 945,528/x
  3. Step 3: Cross multiply
    437,836x = 945,528 × 945,528
  4. Step 4: Simplify right side
    437,836x = 894,023,198,784
  5. Step 5: Solve for x
    x = 894,023,198,784/437,836
  6. Step 6: Final answer
    x = 2,041,913.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.