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Finding the Third Proportional to 702,270 and 1,516,644

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Solution

The third proportional to 702,270 and 1,516,644 is: 3,275,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,270 : 1,516,644 = 1,516,644 : x
  2. Step 2: Convert to fraction form
    702,270/1,516,644 = 1,516,644/x
  3. Step 3: Cross multiply
    702,270x = 1,516,644 × 1,516,644
  4. Step 4: Simplify right side
    702,270x = 2,300,209,022,736
  5. Step 5: Solve for x
    x = 2,300,209,022,736/702,270
  6. Step 6: Final answer
    x = 3,275,391.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.