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Finding the Third Proportional to 626,208 and 1,352,442

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Solution

The third proportional to 626,208 and 1,352,442 is: 2,920,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,208 : 1,352,442 = 1,352,442 : x
  2. Step 2: Convert to fraction form
    626,208/1,352,442 = 1,352,442/x
  3. Step 3: Cross multiply
    626,208x = 1,352,442 × 1,352,442
  4. Step 4: Simplify right side
    626,208x = 1,829,099,363,364
  5. Step 5: Solve for x
    x = 1,829,099,363,364/626,208
  6. Step 6: Final answer
    x = 2,920,913.44

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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.