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Finding the Third Proportional to 882,534 and 1,905,012

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Solution

The third proportional to 882,534 and 1,905,012 is: 4,112,103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,534 : 1,905,012 = 1,905,012 : x
  2. Step 2: Convert to fraction form
    882,534/1,905,012 = 1,905,012/x
  3. Step 3: Cross multiply
    882,534x = 1,905,012 × 1,905,012
  4. Step 4: Simplify right side
    882,534x = 3,629,070,720,144
  5. Step 5: Solve for x
    x = 3,629,070,720,144/882,534
  6. Step 6: Final answer
    x = 4,112,103.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.