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Finding the Third Proportional to 652,353 and 1,413,273

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Solution

The third proportional to 652,353 and 1,413,273 is: 3,061,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,353 : 1,413,273 = 1,413,273 : x
  2. Step 2: Convert to fraction form
    652,353/1,413,273 = 1,413,273/x
  3. Step 3: Cross multiply
    652,353x = 1,413,273 × 1,413,273
  4. Step 4: Simplify right side
    652,353x = 1,997,340,572,529
  5. Step 5: Solve for x
    x = 1,997,340,572,529/652,353
  6. Step 6: Final answer
    x = 3,061,748.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.