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Finding the Third Proportional to 537,472 and 1,171,712

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Solution

The third proportional to 537,472 and 1,171,712 is: 2,554,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,472 : 1,171,712 = 1,171,712 : x
  2. Step 2: Convert to fraction form
    537,472/1,171,712 = 1,171,712/x
  3. Step 3: Cross multiply
    537,472x = 1,171,712 × 1,171,712
  4. Step 4: Simplify right side
    537,472x = 1,372,909,010,944
  5. Step 5: Solve for x
    x = 1,372,909,010,944/537,472
  6. Step 6: Final answer
    x = 2,554,382.39

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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.