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Finding the Third Proportional to 706,299 and 1,533,004

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Solution

The third proportional to 706,299 and 1,533,004 is: 3,327,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,299 : 1,533,004 = 1,533,004 : x
  2. Step 2: Convert to fraction form
    706,299/1,533,004 = 1,533,004/x
  3. Step 3: Cross multiply
    706,299x = 1,533,004 × 1,533,004
  4. Step 4: Simplify right side
    706,299x = 2,350,101,264,016
  5. Step 5: Solve for x
    x = 2,350,101,264,016/706,299
  6. Step 6: Final answer
    x = 3,327,346.16

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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.