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Finding the Third Proportional to 543,862 and 1,184,494

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Solution

The third proportional to 543,862 and 1,184,494 is: 2,579,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,862 : 1,184,494 = 1,184,494 : x
  2. Step 2: Convert to fraction form
    543,862/1,184,494 = 1,184,494/x
  3. Step 3: Cross multiply
    543,862x = 1,184,494 × 1,184,494
  4. Step 4: Simplify right side
    543,862x = 1,403,026,036,036
  5. Step 5: Solve for x
    x = 1,403,026,036,036/543,862
  6. Step 6: Final answer
    x = 2,579,746.40

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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.