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Finding the Third Proportional to 408,384,290 and 896,117,476

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Solution

The third proportional to 408,384,290 and 896,117,476 is: 1,966,350,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,384,290 : 896,117,476 = 896,117,476 : x
  2. Step 2: Convert to fraction form
    408,384,290/896,117,476 = 896,117,476/x
  3. Step 3: Cross multiply
    408,384,290x = 896,117,476 × 896,117,476
  4. Step 4: Simplify right side
    408,384,290x = 803,026,530,792,610,560
  5. Step 5: Solve for x
    x = 803,026,530,792,610,560/408,384,290
  6. Step 6: Final answer
    x = 1,966,350,201.16

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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.