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Finding the Third Proportional to 540,470 and 1,173,244

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Solution

The third proportional to 540,470 and 1,173,244 is: 2,546,860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,470 : 1,173,244 = 1,173,244 : x
  2. Step 2: Convert to fraction form
    540,470/1,173,244 = 1,173,244/x
  3. Step 3: Cross multiply
    540,470x = 1,173,244 × 1,173,244
  4. Step 4: Simplify right side
    540,470x = 1,376,501,483,536
  5. Step 5: Solve for x
    x = 1,376,501,483,536/540,470
  6. Step 6: Final answer
    x = 2,546,860.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.