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Finding the Third Proportional to 2,532,186 and 5,856,978

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Solution

The third proportional to 2,532,186 and 5,856,978 is: 13,547,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532,186 : 5,856,978 = 5,856,978 : x
  2. Step 2: Convert to fraction form
    2,532,186/5,856,978 = 5,856,978/x
  3. Step 3: Cross multiply
    2,532,186x = 5,856,978 × 5,856,978
  4. Step 4: Simplify right side
    2,532,186x = 34,304,191,292,484
  5. Step 5: Solve for x
    x = 34,304,191,292,484/2,532,186
  6. Step 6: Final answer
    x = 13,547,263.63

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.