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Finding the Third Proportional to 539,278 and 1,159,964

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Solution

The third proportional to 539,278 and 1,159,964 is: 2,495,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,278 : 1,159,964 = 1,159,964 : x
  2. Step 2: Convert to fraction form
    539,278/1,159,964 = 1,159,964/x
  3. Step 3: Cross multiply
    539,278x = 1,159,964 × 1,159,964
  4. Step 4: Simplify right side
    539,278x = 1,345,516,481,296
  5. Step 5: Solve for x
    x = 1,345,516,481,296/539,278
  6. Step 6: Final answer
    x = 2,495,033.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.