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Finding the Third Proportional to 782,703 and 1,683,730.13

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Solution

The third proportional to 782,703 and 1,683,730.13 is: 3,621,996.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,703 : 1,683,730.13 = 1,683,730.13 : x
  2. Step 2: Convert to fraction form
    782,703/1,683,730.13 = 1,683,730.13/x
  3. Step 3: Cross multiply
    782,703x = 1,683,730.13 × 1,683,730.13
  4. Step 4: Simplify right side
    782,703x = 2,834,947,133,832.52
  5. Step 5: Solve for x
    x = 2,834,947,133,832.52/782,703
  6. Step 6: Final answer
    x = 3,621,996.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.