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Finding the Third Proportional to 665,072 and 1,377,440

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Solution

The third proportional to 665,072 and 1,377,440 is: 2,852,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,072 : 1,377,440 = 1,377,440 : x
  2. Step 2: Convert to fraction form
    665,072/1,377,440 = 1,377,440/x
  3. Step 3: Cross multiply
    665,072x = 1,377,440 × 1,377,440
  4. Step 4: Simplify right side
    665,072x = 1,897,340,953,600
  5. Step 5: Solve for x
    x = 1,897,340,953,600/665,072
  6. Step 6: Final answer
    x = 2,852,835.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.