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Finding the Third Proportional to 702,770 and 1,540,972

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Solution

The third proportional to 702,770 and 1,540,972 is: 3,378,907.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,770 : 1,540,972 = 1,540,972 : x
  2. Step 2: Convert to fraction form
    702,770/1,540,972 = 1,540,972/x
  3. Step 3: Cross multiply
    702,770x = 1,540,972 × 1,540,972
  4. Step 4: Simplify right side
    702,770x = 2,374,594,704,784
  5. Step 5: Solve for x
    x = 2,374,594,704,784/702,770
  6. Step 6: Final answer
    x = 3,378,907.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.