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Finding the Third Proportional to 584,576 and 1,256,174

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Solution

The third proportional to 584,576 and 1,256,174 is: 2,699,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,576 : 1,256,174 = 1,256,174 : x
  2. Step 2: Convert to fraction form
    584,576/1,256,174 = 1,256,174/x
  3. Step 3: Cross multiply
    584,576x = 1,256,174 × 1,256,174
  4. Step 4: Simplify right side
    584,576x = 1,577,973,118,276
  5. Step 5: Solve for x
    x = 1,577,973,118,276/584,576
  6. Step 6: Final answer
    x = 2,699,346.40

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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.