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Finding the Third Proportional to 388,429 and 847,468

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Solution

The third proportional to 388,429 and 847,468 is: 1,848,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,429 : 847,468 = 847,468 : x
  2. Step 2: Convert to fraction form
    388,429/847,468 = 847,468/x
  3. Step 3: Cross multiply
    388,429x = 847,468 × 847,468
  4. Step 4: Simplify right side
    388,429x = 718,202,011,024
  5. Step 5: Solve for x
    x = 718,202,011,024/388,429
  6. Step 6: Final answer
    x = 1,848,991.74

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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.