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Finding the Third Proportional to 589,140 and 1,292,976

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Solution

The third proportional to 589,140 and 1,292,976 is: 2,837,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,140 : 1,292,976 = 1,292,976 : x
  2. Step 2: Convert to fraction form
    589,140/1,292,976 = 1,292,976/x
  3. Step 3: Cross multiply
    589,140x = 1,292,976 × 1,292,976
  4. Step 4: Simplify right side
    589,140x = 1,671,786,936,576
  5. Step 5: Solve for x
    x = 1,671,786,936,576/589,140
  6. Step 6: Final answer
    x = 2,837,673.45

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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.