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Finding the Third Proportional to 702,957 and 1,455,759

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Solution

The third proportional to 702,957 and 1,455,759 is: 3,014,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,957 : 1,455,759 = 1,455,759 : x
  2. Step 2: Convert to fraction form
    702,957/1,455,759 = 1,455,759/x
  3. Step 3: Cross multiply
    702,957x = 1,455,759 × 1,455,759
  4. Step 4: Simplify right side
    702,957x = 2,119,234,266,081
  5. Step 5: Solve for x
    x = 2,119,234,266,081/702,957
  6. Step 6: Final answer
    x = 3,014,742.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.