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Finding the Third Proportional to 365,838,824 and 784,725,448

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Solution

The third proportional to 365,838,824 and 784,725,448 is: 1,683,238,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,838,824 : 784,725,448 = 784,725,448 : x
  2. Step 2: Convert to fraction form
    365,838,824/784,725,448 = 784,725,448/x
  3. Step 3: Cross multiply
    365,838,824x = 784,725,448 × 784,725,448
  4. Step 4: Simplify right side
    365,838,824x = 615,794,028,738,800,640
  5. Step 5: Solve for x
    x = 615,794,028,738,800,640/365,838,824
  6. Step 6: Final answer
    x = 1,683,238,596.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.