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Finding the Third Proportional to 537,152 and 1,170,208

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Solution

The third proportional to 537,152 and 1,170,208 is: 2,549,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,152 : 1,170,208 = 1,170,208 : x
  2. Step 2: Convert to fraction form
    537,152/1,170,208 = 1,170,208/x
  3. Step 3: Cross multiply
    537,152x = 1,170,208 × 1,170,208
  4. Step 4: Simplify right side
    537,152x = 1,369,386,763,264
  5. Step 5: Solve for x
    x = 1,369,386,763,264/537,152
  6. Step 6: Final answer
    x = 2,549,346.86

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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.