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Finding the Third Proportional to 2,270,346 and 3,415,056

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Solution

The third proportional to 2,270,346 and 3,415,056 is: 5,136,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,346 : 3,415,056 = 3,415,056 : x
  2. Step 2: Convert to fraction form
    2,270,346/3,415,056 = 3,415,056/x
  3. Step 3: Cross multiply
    2,270,346x = 3,415,056 × 3,415,056
  4. Step 4: Simplify right side
    2,270,346x = 11,662,607,483,136
  5. Step 5: Solve for x
    x = 11,662,607,483,136/2,270,346
  6. Step 6: Final answer
    x = 5,136,929.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.