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Finding the Third Proportional to 647,358 and 1,423,200

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Solution

The third proportional to 647,358 and 1,423,200 is: 3,128,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,358 : 1,423,200 = 1,423,200 : x
  2. Step 2: Convert to fraction form
    647,358/1,423,200 = 1,423,200/x
  3. Step 3: Cross multiply
    647,358x = 1,423,200 × 1,423,200
  4. Step 4: Simplify right side
    647,358x = 2,025,498,240,000
  5. Step 5: Solve for x
    x = 2,025,498,240,000/647,358
  6. Step 6: Final answer
    x = 3,128,868.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.