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Finding the Third Proportional to 4,307,856 and 6,758,352

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Solution

The third proportional to 4,307,856 and 6,758,352 is: 10,602,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307,856 : 6,758,352 = 6,758,352 : x
  2. Step 2: Convert to fraction form
    4,307,856/6,758,352 = 6,758,352/x
  3. Step 3: Cross multiply
    4,307,856x = 6,758,352 × 6,758,352
  4. Step 4: Simplify right side
    4,307,856x = 45,675,321,755,904
  5. Step 5: Solve for x
    x = 45,675,321,755,904/4,307,856
  6. Step 6: Final answer
    x = 10,602,796.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.