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Finding the Third Proportional to 591,202 and 1,292,828

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Solution

The third proportional to 591,202 and 1,292,828 is: 2,827,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,202 : 1,292,828 = 1,292,828 : x
  2. Step 2: Convert to fraction form
    591,202/1,292,828 = 1,292,828/x
  3. Step 3: Cross multiply
    591,202x = 1,292,828 × 1,292,828
  4. Step 4: Simplify right side
    591,202x = 1,671,404,237,584
  5. Step 5: Solve for x
    x = 1,671,404,237,584/591,202
  6. Step 6: Final answer
    x = 2,827,128.86

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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.