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Finding the Third Proportional to 697,440.38 and 1,478,577.38

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Solution

The third proportional to 697,440.38 and 1,478,577.38 is: 3,134,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,440.38 : 1,478,577.38 = 1,478,577.38 : x
  2. Step 2: Convert to fraction form
    697,440.38/1,478,577.38 = 1,478,577.38/x
  3. Step 3: Cross multiply
    697,440.38x = 1,478,577.38 × 1,478,577.38
  4. Step 4: Simplify right side
    697,440.38x = 2,186,191,053,861.89
  5. Step 5: Solve for x
    x = 2,186,191,053,861.89/697,440.38
  6. Step 6: Final answer
    x = 3,134,592.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.