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Finding the Third Proportional to 4,307,868 and 6,758,370

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Solution

The third proportional to 4,307,868 and 6,758,370 is: 10,602,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307,868 : 6,758,370 = 6,758,370 : x
  2. Step 2: Convert to fraction form
    4,307,868/6,758,370 = 6,758,370/x
  3. Step 3: Cross multiply
    4,307,868x = 6,758,370 × 6,758,370
  4. Step 4: Simplify right side
    4,307,868x = 45,675,565,056,900
  5. Step 5: Solve for x
    x = 45,675,565,056,900/4,307,868
  6. Step 6: Final answer
    x = 10,602,823.73

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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.