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Finding the Third Proportional to 3,211,518 and 4,696,708.50

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Solution

The third proportional to 3,211,518 and 4,696,708.50 is: 6,868,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,518 : 4,696,708.50 = 4,696,708.50 : x
  2. Step 2: Convert to fraction form
    3,211,518/4,696,708.50 = 4,696,708.50/x
  3. Step 3: Cross multiply
    3,211,518x = 4,696,708.50 × 4,696,708.50
  4. Step 4: Simplify right side
    3,211,518x = 22,059,070,733,972.25
  5. Step 5: Solve for x
    x = 22,059,070,733,972.25/3,211,518
  6. Step 6: Final answer
    x = 6,868,736.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.