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Finding the Third Proportional to 546,705 and 1,183,266

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Solution

The third proportional to 546,705 and 1,183,266 is: 2,561,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,705 : 1,183,266 = 1,183,266 : x
  2. Step 2: Convert to fraction form
    546,705/1,183,266 = 1,183,266/x
  3. Step 3: Cross multiply
    546,705x = 1,183,266 × 1,183,266
  4. Step 4: Simplify right side
    546,705x = 1,400,118,426,756
  5. Step 5: Solve for x
    x = 1,400,118,426,756/546,705
  6. Step 6: Final answer
    x = 2,561,012.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.