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Finding the Third Proportional to 971,040 and 1,519,942

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Solution

The third proportional to 971,040 and 1,519,942 is: 2,379,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,040 : 1,519,942 = 1,519,942 : x
  2. Step 2: Convert to fraction form
    971,040/1,519,942 = 1,519,942/x
  3. Step 3: Cross multiply
    971,040x = 1,519,942 × 1,519,942
  4. Step 4: Simplify right side
    971,040x = 2,310,223,683,364
  5. Step 5: Solve for x
    x = 2,310,223,683,364/971,040
  6. Step 6: Final answer
    x = 2,379,123.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.