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Finding the Third Proportional to 2,302,931 and 4,871,587

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Solution

The third proportional to 2,302,931 and 4,871,587 is: 10,305,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302,931 : 4,871,587 = 4,871,587 : x
  2. Step 2: Convert to fraction form
    2,302,931/4,871,587 = 4,871,587/x
  3. Step 3: Cross multiply
    2,302,931x = 4,871,587 × 4,871,587
  4. Step 4: Simplify right side
    2,302,931x = 23,732,359,898,569
  5. Step 5: Solve for x
    x = 23,732,359,898,569/2,302,931
  6. Step 6: Final answer
    x = 10,305,284.83

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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.