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Finding the Third Proportional to 621,416 and 1,331,332

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Solution

The third proportional to 621,416 and 1,331,332 is: 2,852,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,416 : 1,331,332 = 1,331,332 : x
  2. Step 2: Convert to fraction form
    621,416/1,331,332 = 1,331,332/x
  3. Step 3: Cross multiply
    621,416x = 1,331,332 × 1,331,332
  4. Step 4: Simplify right side
    621,416x = 1,772,444,894,224
  5. Step 5: Solve for x
    x = 1,772,444,894,224/621,416
  6. Step 6: Final answer
    x = 2,852,267.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.