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Finding the Third Proportional to 565,599 and 1,226,174

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Solution

The third proportional to 565,599 and 1,226,174 is: 2,658,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,599 : 1,226,174 = 1,226,174 : x
  2. Step 2: Convert to fraction form
    565,599/1,226,174 = 1,226,174/x
  3. Step 3: Cross multiply
    565,599x = 1,226,174 × 1,226,174
  4. Step 4: Simplify right side
    565,599x = 1,503,502,678,276
  5. Step 5: Solve for x
    x = 1,503,502,678,276/565,599
  6. Step 6: Final answer
    x = 2,658,248.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.