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Finding the Third Proportional to 537,430 and 1,171,628

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Solution

The third proportional to 537,430 and 1,171,628 is: 2,554,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,430 : 1,171,628 = 1,171,628 : x
  2. Step 2: Convert to fraction form
    537,430/1,171,628 = 1,171,628/x
  3. Step 3: Cross multiply
    537,430x = 1,171,628 × 1,171,628
  4. Step 4: Simplify right side
    537,430x = 1,372,712,170,384
  5. Step 5: Solve for x
    x = 1,372,712,170,384/537,430
  6. Step 6: Final answer
    x = 2,554,215.75

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