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Finding the Third Proportional to 674,112 and 1,015,440

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Solution

The third proportional to 674,112 and 1,015,440 is: 1,529,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,112 : 1,015,440 = 1,015,440 : x
  2. Step 2: Convert to fraction form
    674,112/1,015,440 = 1,015,440/x
  3. Step 3: Cross multiply
    674,112x = 1,015,440 × 1,015,440
  4. Step 4: Simplify right side
    674,112x = 1,031,118,393,600
  5. Step 5: Solve for x
    x = 1,031,118,393,600/674,112
  6. Step 6: Final answer
    x = 1,529,595.07

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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.