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Finding the Third Proportional to 474,264 and 1,119,528

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Solution

The third proportional to 474,264 and 1,119,528 is: 2,642,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,264 : 1,119,528 = 1,119,528 : x
  2. Step 2: Convert to fraction form
    474,264/1,119,528 = 1,119,528/x
  3. Step 3: Cross multiply
    474,264x = 1,119,528 × 1,119,528
  4. Step 4: Simplify right side
    474,264x = 1,253,342,942,784
  5. Step 5: Solve for x
    x = 1,253,342,942,784/474,264
  6. Step 6: Final answer
    x = 2,642,711.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.