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Finding the Third Proportional to 543,920 and 1,166,580

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Solution

The third proportional to 543,920 and 1,166,580 is: 2,502,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,920 : 1,166,580 = 1,166,580 : x
  2. Step 2: Convert to fraction form
    543,920/1,166,580 = 1,166,580/x
  3. Step 3: Cross multiply
    543,920x = 1,166,580 × 1,166,580
  4. Step 4: Simplify right side
    543,920x = 1,360,908,896,400
  5. Step 5: Solve for x
    x = 1,360,908,896,400/543,920
  6. Step 6: Final answer
    x = 2,502,038.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.