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Finding the Third Proportional to 2,292,735 and 4,858,566

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Solution

The third proportional to 2,292,735 and 4,858,566 is: 10,295,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292,735 : 4,858,566 = 4,858,566 : x
  2. Step 2: Convert to fraction form
    2,292,735/4,858,566 = 4,858,566/x
  3. Step 3: Cross multiply
    2,292,735x = 4,858,566 × 4,858,566
  4. Step 4: Simplify right side
    2,292,735x = 23,605,663,576,356
  5. Step 5: Solve for x
    x = 23,605,663,576,356/2,292,735
  6. Step 6: Final answer
    x = 10,295,853.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.