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Finding the Third Proportional to 997,004 and 1,504,646

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Solution

The third proportional to 997,004 and 1,504,646 is: 2,270,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,004 : 1,504,646 = 1,504,646 : x
  2. Step 2: Convert to fraction form
    997,004/1,504,646 = 1,504,646/x
  3. Step 3: Cross multiply
    997,004x = 1,504,646 × 1,504,646
  4. Step 4: Simplify right side
    997,004x = 2,263,959,585,316
  5. Step 5: Solve for x
    x = 2,263,959,585,316/997,004
  6. Step 6: Final answer
    x = 2,270,762.79

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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.