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Finding the Third Proportional to 644,216 and 1,455,465

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Solution

The third proportional to 644,216 and 1,455,465 is: 3,288,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,216 : 1,455,465 = 1,455,465 : x
  2. Step 2: Convert to fraction form
    644,216/1,455,465 = 1,455,465/x
  3. Step 3: Cross multiply
    644,216x = 1,455,465 × 1,455,465
  4. Step 4: Simplify right side
    644,216x = 2,118,378,366,225
  5. Step 5: Solve for x
    x = 2,118,378,366,225/644,216
  6. Step 6: Final answer
    x = 3,288,304.49

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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.