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Finding the Third Proportional to 2,153,725 and 4,698,652

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Solution

The third proportional to 2,153,725 and 4,698,652 is: 10,250,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,725 : 4,698,652 = 4,698,652 : x
  2. Step 2: Convert to fraction form
    2,153,725/4,698,652 = 4,698,652/x
  3. Step 3: Cross multiply
    2,153,725x = 4,698,652 × 4,698,652
  4. Step 4: Simplify right side
    2,153,725x = 22,077,330,617,104
  5. Step 5: Solve for x
    x = 22,077,330,617,104/2,153,725
  6. Step 6: Final answer
    x = 10,250,765.82

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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.