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Finding the Third Proportional to 467,386,298 and 1,012,332,224

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Solution

The third proportional to 467,386,298 and 1,012,332,224 is: 2,192,654,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,386,298 : 1,012,332,224 = 1,012,332,224 : x
  2. Step 2: Convert to fraction form
    467,386,298/1,012,332,224 = 1,012,332,224/x
  3. Step 3: Cross multiply
    467,386,298x = 1,012,332,224 × 1,012,332,224
  4. Step 4: Simplify right side
    467,386,298x = 1,024,816,531,748,786,176
  5. Step 5: Solve for x
    x = 1,024,816,531,748,786,176/467,386,298
  6. Step 6: Final answer
    x = 2,192,654,205.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.