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Finding the Third Proportional to 2,209,768 and 4,841,132

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Solution

The third proportional to 2,209,768 and 4,841,132 is: 10,605,891.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209,768 : 4,841,132 = 4,841,132 : x
  2. Step 2: Convert to fraction form
    2,209,768/4,841,132 = 4,841,132/x
  3. Step 3: Cross multiply
    2,209,768x = 4,841,132 × 4,841,132
  4. Step 4: Simplify right side
    2,209,768x = 23,436,559,041,424
  5. Step 5: Solve for x
    x = 23,436,559,041,424/2,209,768
  6. Step 6: Final answer
    x = 10,605,891.23

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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.