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Finding the Third Proportional to 492,081 and 1,076,070

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Solution

The third proportional to 492,081 and 1,076,070 is: 2,353,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,081 : 1,076,070 = 1,076,070 : x
  2. Step 2: Convert to fraction form
    492,081/1,076,070 = 1,076,070/x
  3. Step 3: Cross multiply
    492,081x = 1,076,070 × 1,076,070
  4. Step 4: Simplify right side
    492,081x = 1,157,926,644,900
  5. Step 5: Solve for x
    x = 1,157,926,644,900/492,081
  6. Step 6: Final answer
    x = 2,353,122.04

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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.