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Finding the Third Proportional to 836,510 and 1,262,614

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Solution

The third proportional to 836,510 and 1,262,614 is: 1,905,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,510 : 1,262,614 = 1,262,614 : x
  2. Step 2: Convert to fraction form
    836,510/1,262,614 = 1,262,614/x
  3. Step 3: Cross multiply
    836,510x = 1,262,614 × 1,262,614
  4. Step 4: Simplify right side
    836,510x = 1,594,194,112,996
  5. Step 5: Solve for x
    x = 1,594,194,112,996/836,510
  6. Step 6: Final answer
    x = 1,905,768.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.