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Finding the Third Proportional to 537,744 and 1,170,318

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Solution

The third proportional to 537,744 and 1,170,318 is: 2,547,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,744 : 1,170,318 = 1,170,318 : x
  2. Step 2: Convert to fraction form
    537,744/1,170,318 = 1,170,318/x
  3. Step 3: Cross multiply
    537,744x = 1,170,318 × 1,170,318
  4. Step 4: Simplify right side
    537,744x = 1,369,644,221,124
  5. Step 5: Solve for x
    x = 1,369,644,221,124/537,744
  6. Step 6: Final answer
    x = 2,547,019.07

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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.