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Finding the Third Proportional to 492,061 and 1,076,352

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Solution

The third proportional to 492,061 and 1,076,352 is: 2,354,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,061 : 1,076,352 = 1,076,352 : x
  2. Step 2: Convert to fraction form
    492,061/1,076,352 = 1,076,352/x
  3. Step 3: Cross multiply
    492,061x = 1,076,352 × 1,076,352
  4. Step 4: Simplify right side
    492,061x = 1,158,533,627,904
  5. Step 5: Solve for x
    x = 1,158,533,627,904/492,061
  6. Step 6: Final answer
    x = 2,354,451.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.