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Finding the Third Proportional to 971,038 and 1,519,939

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Solution

The third proportional to 971,038 and 1,519,939 is: 2,379,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,038 : 1,519,939 = 1,519,939 : x
  2. Step 2: Convert to fraction form
    971,038/1,519,939 = 1,519,939/x
  3. Step 3: Cross multiply
    971,038x = 1,519,939 × 1,519,939
  4. Step 4: Simplify right side
    971,038x = 2,310,214,563,721
  5. Step 5: Solve for x
    x = 2,310,214,563,721/971,038
  6. Step 6: Final answer
    x = 2,379,118.60

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Why These Related Problems?

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