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Finding the Third Proportional to 559,388 and 1,207,228

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Solution

The third proportional to 559,388 and 1,207,228 is: 2,605,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,388 : 1,207,228 = 1,207,228 : x
  2. Step 2: Convert to fraction form
    559,388/1,207,228 = 1,207,228/x
  3. Step 3: Cross multiply
    559,388x = 1,207,228 × 1,207,228
  4. Step 4: Simplify right side
    559,388x = 1,457,399,443,984
  5. Step 5: Solve for x
    x = 1,457,399,443,984/559,388
  6. Step 6: Final answer
    x = 2,605,346.28

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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.