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Finding the Third Proportional to 644,214 and 1,455,460

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Solution

The third proportional to 644,214 and 1,455,460 is: 3,288,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,214 : 1,455,460 = 1,455,460 : x
  2. Step 2: Convert to fraction form
    644,214/1,455,460 = 1,455,460/x
  3. Step 3: Cross multiply
    644,214x = 1,455,460 × 1,455,460
  4. Step 4: Simplify right side
    644,214x = 2,118,363,811,600
  5. Step 5: Solve for x
    x = 2,118,363,811,600/644,214
  6. Step 6: Final answer
    x = 3,288,292.11

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.