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Finding the Third Proportional to 706,406 and 1,525,954

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Solution

The third proportional to 706,406 and 1,525,954 is: 3,296,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,406 : 1,525,954 = 1,525,954 : x
  2. Step 2: Convert to fraction form
    706,406/1,525,954 = 1,525,954/x
  3. Step 3: Cross multiply
    706,406x = 1,525,954 × 1,525,954
  4. Step 4: Simplify right side
    706,406x = 2,328,535,610,116
  5. Step 5: Solve for x
    x = 2,328,535,610,116/706,406
  6. Step 6: Final answer
    x = 3,296,313.47

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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.