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Finding the Third Proportional to 706,303 and 1,533,010

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Solution

The third proportional to 706,303 and 1,533,010 is: 3,327,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,303 : 1,533,010 = 1,533,010 : x
  2. Step 2: Convert to fraction form
    706,303/1,533,010 = 1,533,010/x
  3. Step 3: Cross multiply
    706,303x = 1,533,010 × 1,533,010
  4. Step 4: Simplify right side
    706,303x = 2,350,119,660,100
  5. Step 5: Solve for x
    x = 2,350,119,660,100/706,303
  6. Step 6: Final answer
    x = 3,327,353.36

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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.