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Finding the Third Proportional to 452,511 and 893,592

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Solution

The third proportional to 452,511 and 893,592 is: 1,764,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,511 : 893,592 = 893,592 : x
  2. Step 2: Convert to fraction form
    452,511/893,592 = 893,592/x
  3. Step 3: Cross multiply
    452,511x = 893,592 × 893,592
  4. Step 4: Simplify right side
    452,511x = 798,506,662,464
  5. Step 5: Solve for x
    x = 798,506,662,464/452,511
  6. Step 6: Final answer
    x = 1,764,612.71

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.