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Finding the Third Proportional to 596,815 and 1,163,174

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Solution

The third proportional to 596,815 and 1,163,174 is: 2,266,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,815 : 1,163,174 = 1,163,174 : x
  2. Step 2: Convert to fraction form
    596,815/1,163,174 = 1,163,174/x
  3. Step 3: Cross multiply
    596,815x = 1,163,174 × 1,163,174
  4. Step 4: Simplify right side
    596,815x = 1,352,973,754,276
  5. Step 5: Solve for x
    x = 1,352,973,754,276/596,815
  6. Step 6: Final answer
    x = 2,266,990.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.