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Finding the Third Proportional to 1,314,576 and 2,828,412

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Solution

The third proportional to 1,314,576 and 2,828,412 is: 6,085,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,576 : 2,828,412 = 2,828,412 : x
  2. Step 2: Convert to fraction form
    1,314,576/2,828,412 = 2,828,412/x
  3. Step 3: Cross multiply
    1,314,576x = 2,828,412 × 2,828,412
  4. Step 4: Simplify right side
    1,314,576x = 7,999,914,441,744
  5. Step 5: Solve for x
    x = 7,999,914,441,744/1,314,576
  6. Step 6: Final answer
    x = 6,085,547.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.