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Finding the Third Proportional to 961,313 and 1,449,332

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Solution

The third proportional to 961,313 and 1,449,332 is: 2,185,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,313 : 1,449,332 = 1,449,332 : x
  2. Step 2: Convert to fraction form
    961,313/1,449,332 = 1,449,332/x
  3. Step 3: Cross multiply
    961,313x = 1,449,332 × 1,449,332
  4. Step 4: Simplify right side
    961,313x = 2,100,563,246,224
  5. Step 5: Solve for x
    x = 2,100,563,246,224/961,313
  6. Step 6: Final answer
    x = 2,185,098.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.