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Finding the Third Proportional to 2,010,966.75 and 4,743,117

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Solution

The third proportional to 2,010,966.75 and 4,743,117 is: 11,187,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,966.75 : 4,743,117 = 4,743,117 : x
  2. Step 2: Convert to fraction form
    2,010,966.75/4,743,117 = 4,743,117/x
  3. Step 3: Cross multiply
    2,010,966.75x = 4,743,117 × 4,743,117
  4. Step 4: Simplify right side
    2,010,966.75x = 22,497,158,875,689
  5. Step 5: Solve for x
    x = 22,497,158,875,689/2,010,966.75
  6. Step 6: Final answer
    x = 11,187,235.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.