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Finding the Third Proportional to 941,576 and 1,208,964

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Solution

The third proportional to 941,576 and 1,208,964 is: 1,552,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,576 : 1,208,964 = 1,208,964 : x
  2. Step 2: Convert to fraction form
    941,576/1,208,964 = 1,208,964/x
  3. Step 3: Cross multiply
    941,576x = 1,208,964 × 1,208,964
  4. Step 4: Simplify right side
    941,576x = 1,461,593,953,296
  5. Step 5: Solve for x
    x = 1,461,593,953,296/941,576
  6. Step 6: Final answer
    x = 1,552,284.63

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.