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Finding the Third Proportional to 3,256,953 and 4,790,653.50

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Solution

The third proportional to 3,256,953 and 4,790,653.50 is: 7,046,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,953 : 4,790,653.50 = 4,790,653.50 : x
  2. Step 2: Convert to fraction form
    3,256,953/4,790,653.50 = 4,790,653.50/x
  3. Step 3: Cross multiply
    3,256,953x = 4,790,653.50 × 4,790,653.50
  4. Step 4: Simplify right side
    3,256,953x = 22,950,360,957,062.25
  5. Step 5: Solve for x
    x = 22,950,360,957,062.25/3,256,953
  6. Step 6: Final answer
    x = 7,046,574.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.