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Finding the Third Proportional to 511,412 and 1,112,056

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Solution

The third proportional to 511,412 and 1,112,056 is: 2,418,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,412 : 1,112,056 = 1,112,056 : x
  2. Step 2: Convert to fraction form
    511,412/1,112,056 = 1,112,056/x
  3. Step 3: Cross multiply
    511,412x = 1,112,056 × 1,112,056
  4. Step 4: Simplify right side
    511,412x = 1,236,668,547,136
  5. Step 5: Solve for x
    x = 1,236,668,547,136/511,412
  6. Step 6: Final answer
    x = 2,418,145.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.