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Finding the Third Proportional to 853,116 and 1,975,002

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Solution

The third proportional to 853,116 and 1,975,002 is: 4,572,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,116 : 1,975,002 = 1,975,002 : x
  2. Step 2: Convert to fraction form
    853,116/1,975,002 = 1,975,002/x
  3. Step 3: Cross multiply
    853,116x = 1,975,002 × 1,975,002
  4. Step 4: Simplify right side
    853,116x = 3,900,632,900,004
  5. Step 5: Solve for x
    x = 3,900,632,900,004/853,116
  6. Step 6: Final answer
    x = 4,572,218.67

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.