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Finding the Third Proportional to 702,194 and 1,059,495

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Solution

The third proportional to 702,194 and 1,059,495 is: 1,598,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,194 : 1,059,495 = 1,059,495 : x
  2. Step 2: Convert to fraction form
    702,194/1,059,495 = 1,059,495/x
  3. Step 3: Cross multiply
    702,194x = 1,059,495 × 1,059,495
  4. Step 4: Simplify right side
    702,194x = 1,122,529,655,025
  5. Step 5: Solve for x
    x = 1,122,529,655,025/702,194
  6. Step 6: Final answer
    x = 1,598,603.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.