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Finding the Third Proportional to 3,455,586.56 and 4,651,921.13

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Solution

The third proportional to 3,455,586.56 and 4,651,921.13 is: 6,262,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455,586.56 : 4,651,921.13 = 4,651,921.13 : x
  2. Step 2: Convert to fraction form
    3,455,586.56/4,651,921.13 = 4,651,921.13/x
  3. Step 3: Cross multiply
    3,455,586.56x = 4,651,921.13 × 4,651,921.13
  4. Step 4: Simplify right side
    3,455,586.56x = 21,640,370,153,221.27
  5. Step 5: Solve for x
    x = 21,640,370,153,221.27/3,455,586.56
  6. Step 6: Final answer
    x = 6,262,430.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.