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Finding the Third Proportional to 697,232 and 1,478,177

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Solution

The third proportional to 697,232 and 1,478,177 is: 3,133,830.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,232 : 1,478,177 = 1,478,177 : x
  2. Step 2: Convert to fraction form
    697,232/1,478,177 = 1,478,177/x
  3. Step 3: Cross multiply
    697,232x = 1,478,177 × 1,478,177
  4. Step 4: Simplify right side
    697,232x = 2,185,007,243,329
  5. Step 5: Solve for x
    x = 2,185,007,243,329/697,232
  6. Step 6: Final answer
    x = 3,133,830.98

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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.