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Finding the Third Proportional to 619,196 and 946,533

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Solution

The third proportional to 619,196 and 946,533 is: 1,446,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,196 : 946,533 = 946,533 : x
  2. Step 2: Convert to fraction form
    619,196/946,533 = 946,533/x
  3. Step 3: Cross multiply
    619,196x = 946,533 × 946,533
  4. Step 4: Simplify right side
    619,196x = 895,924,720,089
  5. Step 5: Solve for x
    x = 895,924,720,089/619,196
  6. Step 6: Final answer
    x = 1,446,916.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.