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Finding the Third Proportional to 1,527,216 and 3,450,456

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Solution

The third proportional to 1,527,216 and 3,450,456 is: 7,795,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,216 : 3,450,456 = 3,450,456 : x
  2. Step 2: Convert to fraction form
    1,527,216/3,450,456 = 3,450,456/x
  3. Step 3: Cross multiply
    1,527,216x = 3,450,456 × 3,450,456
  4. Step 4: Simplify right side
    1,527,216x = 11,905,646,607,936
  5. Step 5: Solve for x
    x = 11,905,646,607,936/1,527,216
  6. Step 6: Final answer
    x = 7,795,653.40

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.