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Finding the Third Proportional to 761,771 and 1,114,615

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Solution

The third proportional to 761,771 and 1,114,615 is: 1,630,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,771 : 1,114,615 = 1,114,615 : x
  2. Step 2: Convert to fraction form
    761,771/1,114,615 = 1,114,615/x
  3. Step 3: Cross multiply
    761,771x = 1,114,615 × 1,114,615
  4. Step 4: Simplify right side
    761,771x = 1,242,366,598,225
  5. Step 5: Solve for x
    x = 1,242,366,598,225/761,771
  6. Step 6: Final answer
    x = 1,630,892.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.