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Finding the Third Proportional to 408,384,296 and 896,117,488

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Solution

The third proportional to 408,384,296 and 896,117,488 is: 1,966,350,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,384,296 : 896,117,488 = 896,117,488 : x
  2. Step 2: Convert to fraction form
    408,384,296/896,117,488 = 896,117,488/x
  3. Step 3: Cross multiply
    408,384,296x = 896,117,488 × 896,117,488
  4. Step 4: Simplify right side
    408,384,296x = 803,026,552,299,430,144
  5. Step 5: Solve for x
    x = 803,026,552,299,430,144/408,384,296
  6. Step 6: Final answer
    x = 1,966,350,224.93

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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.