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Finding the Third Proportional to 2,035,816 and 4,475,101

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Solution

The third proportional to 2,035,816 and 4,475,101 is: 9,837,101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035,816 : 4,475,101 = 4,475,101 : x
  2. Step 2: Convert to fraction form
    2,035,816/4,475,101 = 4,475,101/x
  3. Step 3: Cross multiply
    2,035,816x = 4,475,101 × 4,475,101
  4. Step 4: Simplify right side
    2,035,816x = 20,026,528,960,201
  5. Step 5: Solve for x
    x = 20,026,528,960,201/2,035,816
  6. Step 6: Final answer
    x = 9,837,101.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.