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Finding the Third Proportional to 408,384,288 and 896,117,472

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Solution

The third proportional to 408,384,288 and 896,117,472 is: 1,966,350,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,384,288 : 896,117,472 = 896,117,472 : x
  2. Step 2: Convert to fraction form
    408,384,288/896,117,472 = 896,117,472/x
  3. Step 3: Cross multiply
    408,384,288x = 896,117,472 × 896,117,472
  4. Step 4: Simplify right side
    408,384,288x = 803,026,523,623,670,784
  5. Step 5: Solve for x
    x = 803,026,523,623,670,784/408,384,288
  6. Step 6: Final answer
    x = 1,966,350,193.24

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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.