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Finding the Third Proportional to 2,478,386 and 5,423,332

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Solution

The third proportional to 2,478,386 and 5,423,332 is: 11,867,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478,386 : 5,423,332 = 5,423,332 : x
  2. Step 2: Convert to fraction form
    2,478,386/5,423,332 = 5,423,332/x
  3. Step 3: Cross multiply
    2,478,386x = 5,423,332 × 5,423,332
  4. Step 4: Simplify right side
    2,478,386x = 29,412,529,982,224
  5. Step 5: Solve for x
    x = 29,412,529,982,224/2,478,386
  6. Step 6: Final answer
    x = 11,867,614.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.