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Finding the Third Proportional to 493,470 and 1,060,368.19

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Solution

The third proportional to 493,470 and 1,060,368.19 is: 2,278,518.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,470 : 1,060,368.19 = 1,060,368.19 : x
  2. Step 2: Convert to fraction form
    493,470/1,060,368.19 = 1,060,368.19/x
  3. Step 3: Cross multiply
    493,470x = 1,060,368.19 × 1,060,368.19
  4. Step 4: Simplify right side
    493,470x = 1,124,380,693,062.04
  5. Step 5: Solve for x
    x = 1,124,380,693,062.04/493,470
  6. Step 6: Final answer
    x = 2,278,518.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.