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Finding the Third Proportional to 971,957 and 1,368,132

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Solution

The third proportional to 971,957 and 1,368,132 is: 1,925,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,957 : 1,368,132 = 1,368,132 : x
  2. Step 2: Convert to fraction form
    971,957/1,368,132 = 1,368,132/x
  3. Step 3: Cross multiply
    971,957x = 1,368,132 × 1,368,132
  4. Step 4: Simplify right side
    971,957x = 1,871,785,169,424
  5. Step 5: Solve for x
    x = 1,871,785,169,424/971,957
  6. Step 6: Final answer
    x = 1,925,790.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.