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Finding the Third Proportional to 545,442 and 1,192,964

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Solution

The third proportional to 545,442 and 1,192,964 is: 2,609,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,442 : 1,192,964 = 1,192,964 : x
  2. Step 2: Convert to fraction form
    545,442/1,192,964 = 1,192,964/x
  3. Step 3: Cross multiply
    545,442x = 1,192,964 × 1,192,964
  4. Step 4: Simplify right side
    545,442x = 1,423,163,105,296
  5. Step 5: Solve for x
    x = 1,423,163,105,296/545,442
  6. Step 6: Final answer
    x = 2,609,192.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.