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Finding the Third Proportional to 2,302,929 and 4,871,583

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Solution

The third proportional to 2,302,929 and 4,871,583 is: 10,305,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302,929 : 4,871,583 = 4,871,583 : x
  2. Step 2: Convert to fraction form
    2,302,929/4,871,583 = 4,871,583/x
  3. Step 3: Cross multiply
    2,302,929x = 4,871,583 × 4,871,583
  4. Step 4: Simplify right side
    2,302,929x = 23,732,320,925,889
  5. Step 5: Solve for x
    x = 23,732,320,925,889/2,302,929
  6. Step 6: Final answer
    x = 10,305,276.86

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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.