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Finding the Third Proportional to 1,314,582 and 2,828,424

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Solution

The third proportional to 1,314,582 and 2,828,424 is: 6,085,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,582 : 2,828,424 = 2,828,424 : x
  2. Step 2: Convert to fraction form
    1,314,582/2,828,424 = 2,828,424/x
  3. Step 3: Cross multiply
    1,314,582x = 2,828,424 × 2,828,424
  4. Step 4: Simplify right side
    1,314,582x = 7,999,982,323,776
  5. Step 5: Solve for x
    x = 7,999,982,323,776/1,314,582
  6. Step 6: Final answer
    x = 6,085,571.17

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Why These Related Problems?

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