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Finding the Third Proportional to 2,051,430 and 4,464,084

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Solution

The third proportional to 2,051,430 and 4,464,084 is: 9,714,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,430 : 4,464,084 = 4,464,084 : x
  2. Step 2: Convert to fraction form
    2,051,430/4,464,084 = 4,464,084/x
  3. Step 3: Cross multiply
    2,051,430x = 4,464,084 × 4,464,084
  4. Step 4: Simplify right side
    2,051,430x = 19,928,045,959,056
  5. Step 5: Solve for x
    x = 19,928,045,959,056/2,051,430
  6. Step 6: Final answer
    x = 9,714,221.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.