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Finding the Third Proportional to 702,148 and 1,059,406

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Solution

The third proportional to 702,148 and 1,059,406 is: 1,598,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,148 : 1,059,406 = 1,059,406 : x
  2. Step 2: Convert to fraction form
    702,148/1,059,406 = 1,059,406/x
  3. Step 3: Cross multiply
    702,148x = 1,059,406 × 1,059,406
  4. Step 4: Simplify right side
    702,148x = 1,122,341,072,836
  5. Step 5: Solve for x
    x = 1,122,341,072,836/702,148
  6. Step 6: Final answer
    x = 1,598,439.46

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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.