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Finding the Third Proportional to 618,943.78 and 1,312,405.03

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Solution

The third proportional to 618,943.78 and 1,312,405.03 is: 2,782,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,943.78 : 1,312,405.03 = 1,312,405.03 : x
  2. Step 2: Convert to fraction form
    618,943.78/1,312,405.03 = 1,312,405.03/x
  3. Step 3: Cross multiply
    618,943.78x = 1,312,405.03 × 1,312,405.03
  4. Step 4: Simplify right side
    618,943.78x = 1,722,406,966,050.31
  5. Step 5: Solve for x
    x = 1,722,406,966,050.31/618,943.78
  6. Step 6: Final answer
    x = 2,782,816.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.