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Finding the Third Proportional to 460,152 and 984,276

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Solution

The third proportional to 460,152 and 984,276 is: 2,105,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,152 : 984,276 = 984,276 : x
  2. Step 2: Convert to fraction form
    460,152/984,276 = 984,276/x
  3. Step 3: Cross multiply
    460,152x = 984,276 × 984,276
  4. Step 4: Simplify right side
    460,152x = 968,799,244,176
  5. Step 5: Solve for x
    x = 968,799,244,176/460,152
  6. Step 6: Final answer
    x = 2,105,389.62

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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.