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Finding the Third Proportional to 2,553,178 and 3,953,196

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Solution

The third proportional to 2,553,178 and 3,953,196 is: 6,120,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553,178 : 3,953,196 = 3,953,196 : x
  2. Step 2: Convert to fraction form
    2,553,178/3,953,196 = 3,953,196/x
  3. Step 3: Cross multiply
    2,553,178x = 3,953,196 × 3,953,196
  4. Step 4: Simplify right side
    2,553,178x = 15,627,758,614,416
  5. Step 5: Solve for x
    x = 15,627,758,614,416/2,553,178
  6. Step 6: Final answer
    x = 6,120,904.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.