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Finding the Third Proportional to 1,560,430 and 3,406,627

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Solution

The third proportional to 1,560,430 and 3,406,627 is: 7,437,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,430 : 3,406,627 = 3,406,627 : x
  2. Step 2: Convert to fraction form
    1,560,430/3,406,627 = 3,406,627/x
  3. Step 3: Cross multiply
    1,560,430x = 3,406,627 × 3,406,627
  4. Step 4: Simplify right side
    1,560,430x = 11,605,107,517,129
  5. Step 5: Solve for x
    x = 11,605,107,517,129/1,560,430
  6. Step 6: Final answer
    x = 7,437,121.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.