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Finding the Third Proportional to 530,396 and 1,145,518

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Solution

The third proportional to 530,396 and 1,145,518 is: 2,474,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,396 : 1,145,518 = 1,145,518 : x
  2. Step 2: Convert to fraction form
    530,396/1,145,518 = 1,145,518/x
  3. Step 3: Cross multiply
    530,396x = 1,145,518 × 1,145,518
  4. Step 4: Simplify right side
    530,396x = 1,312,211,488,324
  5. Step 5: Solve for x
    x = 1,312,211,488,324/530,396
  6. Step 6: Final answer
    x = 2,474,022.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.