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Finding the Third Proportional to 1,314,580 and 2,828,420

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Solution

The third proportional to 1,314,580 and 2,828,420 is: 6,085,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,580 : 2,828,420 = 2,828,420 : x
  2. Step 2: Convert to fraction form
    1,314,580/2,828,420 = 2,828,420/x
  3. Step 3: Cross multiply
    1,314,580x = 2,828,420 × 2,828,420
  4. Step 4: Simplify right side
    1,314,580x = 7,999,959,696,400
  5. Step 5: Solve for x
    x = 7,999,959,696,400/1,314,580
  6. Step 6: Final answer
    x = 6,085,563.22

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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.