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Finding the Third Proportional to 530,698 and 1,121,296

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Solution

The third proportional to 530,698 and 1,121,296 is: 2,369,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,698 : 1,121,296 = 1,121,296 : x
  2. Step 2: Convert to fraction form
    530,698/1,121,296 = 1,121,296/x
  3. Step 3: Cross multiply
    530,698x = 1,121,296 × 1,121,296
  4. Step 4: Simplify right side
    530,698x = 1,257,304,719,616
  5. Step 5: Solve for x
    x = 1,257,304,719,616/530,698
  6. Step 6: Final answer
    x = 2,369,152.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.