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Finding the Third Proportional to 737,416 and 1,579,280

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Solution

The third proportional to 737,416 and 1,579,280 is: 3,382,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,416 : 1,579,280 = 1,579,280 : x
  2. Step 2: Convert to fraction form
    737,416/1,579,280 = 1,579,280/x
  3. Step 3: Cross multiply
    737,416x = 1,579,280 × 1,579,280
  4. Step 4: Simplify right side
    737,416x = 2,494,125,318,400
  5. Step 5: Solve for x
    x = 2,494,125,318,400/737,416
  6. Step 6: Final answer
    x = 3,382,250.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.