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Finding the Third Proportional to 4,786,380 and 7,182,904

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Solution

The third proportional to 4,786,380 and 7,182,904 is: 10,779,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786,380 : 7,182,904 = 7,182,904 : x
  2. Step 2: Convert to fraction form
    4,786,380/7,182,904 = 7,182,904/x
  3. Step 3: Cross multiply
    4,786,380x = 7,182,904 × 7,182,904
  4. Step 4: Simplify right side
    4,786,380x = 51,594,109,873,216
  5. Step 5: Solve for x
    x = 51,594,109,873,216/4,786,380
  6. Step 6: Final answer
    x = 10,779,359.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.