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Finding the Third Proportional to 972,022 and 1,308,529

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Solution

The third proportional to 972,022 and 1,308,529 is: 1,761,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,022 : 1,308,529 = 1,308,529 : x
  2. Step 2: Convert to fraction form
    972,022/1,308,529 = 1,308,529/x
  3. Step 3: Cross multiply
    972,022x = 1,308,529 × 1,308,529
  4. Step 4: Simplify right side
    972,022x = 1,712,248,143,841
  5. Step 5: Solve for x
    x = 1,712,248,143,841/972,022
  6. Step 6: Final answer
    x = 1,761,532.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.