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Finding the Third Proportional to 783,533.67 and 1,697,488.31

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Solution

The third proportional to 783,533.67 and 1,697,488.31 is: 3,677,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,533.67 : 1,697,488.31 = 1,697,488.31 : x
  2. Step 2: Convert to fraction form
    783,533.67/1,697,488.31 = 1,697,488.31/x
  3. Step 3: Cross multiply
    783,533.67x = 1,697,488.31 × 1,697,488.31
  4. Step 4: Simplify right side
    783,533.67x = 2,881,466,571,074.10
  5. Step 5: Solve for x
    x = 2,881,466,571,074.10/783,533.67
  6. Step 6: Final answer
    x = 3,677,527.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.