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Finding the Third Proportional to 873,576 and 1,316,520

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Solution

The third proportional to 873,576 and 1,316,520 is: 1,984,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,576 : 1,316,520 = 1,316,520 : x
  2. Step 2: Convert to fraction form
    873,576/1,316,520 = 1,316,520/x
  3. Step 3: Cross multiply
    873,576x = 1,316,520 × 1,316,520
  4. Step 4: Simplify right side
    873,576x = 1,733,224,910,400
  5. Step 5: Solve for x
    x = 1,733,224,910,400/873,576
  6. Step 6: Final answer
    x = 1,984,057.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.