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Finding the Third Proportional to 537,945 and 1,170,522

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Solution

The third proportional to 537,945 and 1,170,522 is: 2,546,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,945 : 1,170,522 = 1,170,522 : x
  2. Step 2: Convert to fraction form
    537,945/1,170,522 = 1,170,522/x
  3. Step 3: Cross multiply
    537,945x = 1,170,522 × 1,170,522
  4. Step 4: Simplify right side
    537,945x = 1,370,121,752,484
  5. Step 5: Solve for x
    x = 1,370,121,752,484/537,945
  6. Step 6: Final answer
    x = 2,546,955.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.