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Finding the Third Proportional to 610,416 and 946,296

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Solution

The third proportional to 610,416 and 946,296 is: 1,466,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416 : 946,296 = 946,296 : x
  2. Step 2: Convert to fraction form
    610,416/946,296 = 946,296/x
  3. Step 3: Cross multiply
    610,416x = 946,296 × 946,296
  4. Step 4: Simplify right side
    610,416x = 895,476,119,616
  5. Step 5: Solve for x
    x = 895,476,119,616/610,416
  6. Step 6: Final answer
    x = 1,466,993.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.