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Finding the Third Proportional to 946,005 and 2,068,063.50

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Solution

The third proportional to 946,005 and 2,068,063.50 is: 4,520,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,005 : 2,068,063.50 = 2,068,063.50 : x
  2. Step 2: Convert to fraction form
    946,005/2,068,063.50 = 2,068,063.50/x
  3. Step 3: Cross multiply
    946,005x = 2,068,063.50 × 2,068,063.50
  4. Step 4: Simplify right side
    946,005x = 4,276,886,640,032.25
  5. Step 5: Solve for x
    x = 4,276,886,640,032.25/946,005
  6. Step 6: Final answer
    x = 4,520,997.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.