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Finding the Third Proportional to 670,097 and 1,445,170

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Solution

The third proportional to 670,097 and 1,445,170 is: 3,116,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,097 : 1,445,170 = 1,445,170 : x
  2. Step 2: Convert to fraction form
    670,097/1,445,170 = 1,445,170/x
  3. Step 3: Cross multiply
    670,097x = 1,445,170 × 1,445,170
  4. Step 4: Simplify right side
    670,097x = 2,088,516,328,900
  5. Step 5: Solve for x
    x = 2,088,516,328,900/670,097
  6. Step 6: Final answer
    x = 3,116,737.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.