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Finding the Third Proportional to 971,960 and 1,368,136

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Solution

The third proportional to 971,960 and 1,368,136 is: 1,925,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,960 : 1,368,136 = 1,368,136 : x
  2. Step 2: Convert to fraction form
    971,960/1,368,136 = 1,368,136/x
  3. Step 3: Cross multiply
    971,960x = 1,368,136 × 1,368,136
  4. Step 4: Simplify right side
    971,960x = 1,871,796,114,496
  5. Step 5: Solve for x
    x = 1,871,796,114,496/971,960
  6. Step 6: Final answer
    x = 1,925,795.42

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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.