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Finding the Third Proportional to 970,770 and 1,519,533

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Solution

The third proportional to 970,770 and 1,519,533 is: 2,378,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,770 : 1,519,533 = 1,519,533 : x
  2. Step 2: Convert to fraction form
    970,770/1,519,533 = 1,519,533/x
  3. Step 3: Cross multiply
    970,770x = 1,519,533 × 1,519,533
  4. Step 4: Simplify right side
    970,770x = 2,308,980,538,089
  5. Step 5: Solve for x
    x = 2,308,980,538,089/970,770
  6. Step 6: Final answer
    x = 2,378,504.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.