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Finding the Third Proportional to 387,123 and 835,476

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Solution

The third proportional to 387,123 and 835,476 is: 1,803,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,123 : 835,476 = 835,476 : x
  2. Step 2: Convert to fraction form
    387,123/835,476 = 835,476/x
  3. Step 3: Cross multiply
    387,123x = 835,476 × 835,476
  4. Step 4: Simplify right side
    387,123x = 698,020,146,576
  5. Step 5: Solve for x
    x = 698,020,146,576/387,123
  6. Step 6: Final answer
    x = 1,803,096.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.