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Finding the Third Proportional to 4,336,128 and 6,441,312

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Solution

The third proportional to 4,336,128 and 6,441,312 is: 9,568,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336,128 : 6,441,312 = 6,441,312 : x
  2. Step 2: Convert to fraction form
    4,336,128/6,441,312 = 6,441,312/x
  3. Step 3: Cross multiply
    4,336,128x = 6,441,312 × 6,441,312
  4. Step 4: Simplify right side
    4,336,128x = 41,490,500,281,344
  5. Step 5: Solve for x
    x = 41,490,500,281,344/4,336,128
  6. Step 6: Final answer
    x = 9,568,559.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.