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Finding the Third Proportional to 945,848 and 1,429,960

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Solution

The third proportional to 945,848 and 1,429,960 is: 2,161,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,848 : 1,429,960 = 1,429,960 : x
  2. Step 2: Convert to fraction form
    945,848/1,429,960 = 1,429,960/x
  3. Step 3: Cross multiply
    945,848x = 1,429,960 × 1,429,960
  4. Step 4: Simplify right side
    945,848x = 2,044,785,601,600
  5. Step 5: Solve for x
    x = 2,044,785,601,600/945,848
  6. Step 6: Final answer
    x = 2,161,854.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.