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Finding the Third Proportional to 2,174,112 and 4,778,352

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Solution

The third proportional to 2,174,112 and 4,778,352 is: 10,502,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,112 : 4,778,352 = 4,778,352 : x
  2. Step 2: Convert to fraction form
    2,174,112/4,778,352 = 4,778,352/x
  3. Step 3: Cross multiply
    2,174,112x = 4,778,352 × 4,778,352
  4. Step 4: Simplify right side
    2,174,112x = 22,832,647,835,904
  5. Step 5: Solve for x
    x = 22,832,647,835,904/2,174,112
  6. Step 6: Final answer
    x = 10,502,056.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.