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Finding the Third Proportional to 798,576 and 1,713,984

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Solution

The third proportional to 798,576 and 1,713,984 is: 3,678,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,576 : 1,713,984 = 1,713,984 : x
  2. Step 2: Convert to fraction form
    798,576/1,713,984 = 1,713,984/x
  3. Step 3: Cross multiply
    798,576x = 1,713,984 × 1,713,984
  4. Step 4: Simplify right side
    798,576x = 2,937,741,152,256
  5. Step 5: Solve for x
    x = 2,937,741,152,256/798,576
  6. Step 6: Final answer
    x = 3,678,724.57

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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.