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Finding the Third Proportional to 493,460 and 1,056,850

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Solution

The third proportional to 493,460 and 1,056,850 is: 2,263,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,460 : 1,056,850 = 1,056,850 : x
  2. Step 2: Convert to fraction form
    493,460/1,056,850 = 1,056,850/x
  3. Step 3: Cross multiply
    493,460x = 1,056,850 × 1,056,850
  4. Step 4: Simplify right side
    493,460x = 1,116,931,922,500
  5. Step 5: Solve for x
    x = 1,116,931,922,500/493,460
  6. Step 6: Final answer
    x = 2,263,470.03

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