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Finding the Third Proportional to 460,161 and 984,294

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Solution

The third proportional to 460,161 and 984,294 is: 2,105,425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,161 : 984,294 = 984,294 : x
  2. Step 2: Convert to fraction form
    460,161/984,294 = 984,294/x
  3. Step 3: Cross multiply
    460,161x = 984,294 × 984,294
  4. Step 4: Simplify right side
    460,161x = 968,834,678,436
  5. Step 5: Solve for x
    x = 968,834,678,436/460,161
  6. Step 6: Final answer
    x = 2,105,425.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.