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Finding the Third Proportional to 408,384,148 and 896,117,192

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Solution

The third proportional to 408,384,148 and 896,117,192 is: 1,966,349,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,384,148 : 896,117,192 = 896,117,192 : x
  2. Step 2: Convert to fraction form
    408,384,148/896,117,192 = 896,117,192/x
  3. Step 3: Cross multiply
    408,384,148x = 896,117,192 × 896,117,192
  4. Step 4: Simplify right side
    408,384,148x = 803,026,021,797,964,800
  5. Step 5: Solve for x
    x = 803,026,021,797,964,800/408,384,148
  6. Step 6: Final answer
    x = 1,966,349,638.52

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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.