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Finding the Third Proportional to 2,045,770 and 3,068,653

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Solution

The third proportional to 2,045,770 and 3,068,653 is: 4,602,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,770 : 3,068,653 = 3,068,653 : x
  2. Step 2: Convert to fraction form
    2,045,770/3,068,653 = 3,068,653/x
  3. Step 3: Cross multiply
    2,045,770x = 3,068,653 × 3,068,653
  4. Step 4: Simplify right side
    2,045,770x = 9,416,631,234,409
  5. Step 5: Solve for x
    x = 9,416,631,234,409/2,045,770
  6. Step 6: Final answer
    x = 4,602,976.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.