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Finding the Third Proportional to 623,322 and 1,345,056

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Solution

The third proportional to 623,322 and 1,345,056 is: 2,902,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,322 : 1,345,056 = 1,345,056 : x
  2. Step 2: Convert to fraction form
    623,322/1,345,056 = 1,345,056/x
  3. Step 3: Cross multiply
    623,322x = 1,345,056 × 1,345,056
  4. Step 4: Simplify right side
    623,322x = 1,809,175,643,136
  5. Step 5: Solve for x
    x = 1,809,175,643,136/623,322
  6. Step 6: Final answer
    x = 2,902,473.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.