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Finding the Third Proportional to 2,574,098 and 5,642,732

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Solution

The third proportional to 2,574,098 and 5,642,732 is: 12,369,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574,098 : 5,642,732 = 5,642,732 : x
  2. Step 2: Convert to fraction form
    2,574,098/5,642,732 = 5,642,732/x
  3. Step 3: Cross multiply
    2,574,098x = 5,642,732 × 5,642,732
  4. Step 4: Simplify right side
    2,574,098x = 31,840,424,423,824
  5. Step 5: Solve for x
    x = 31,840,424,423,824/2,574,098
  6. Step 6: Final answer
    x = 12,369,546.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.