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Finding the Third Proportional to 1,340,822.11 and 2,932,307.58

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Solution

The third proportional to 1,340,822.11 and 2,932,307.58 is: 6,412,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,822.11 : 2,932,307.58 = 2,932,307.58 : x
  2. Step 2: Convert to fraction form
    1,340,822.11/2,932,307.58 = 2,932,307.58/x
  3. Step 3: Cross multiply
    1,340,822.11x = 2,932,307.58 × 2,932,307.58
  4. Step 4: Simplify right side
    1,340,822.11x = 8,598,427,732,729.30
  5. Step 5: Solve for x
    x = 8,598,427,732,729.30/1,340,822.11
  6. Step 6: Final answer
    x = 6,412,802.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.