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Finding the Third Proportional to 646,944 and 997,200

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Solution

The third proportional to 646,944 and 997,200 is: 1,537,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,944 : 997,200 = 997,200 : x
  2. Step 2: Convert to fraction form
    646,944/997,200 = 997,200/x
  3. Step 3: Cross multiply
    646,944x = 997,200 × 997,200
  4. Step 4: Simplify right side
    646,944x = 994,407,840,000
  5. Step 5: Solve for x
    x = 994,407,840,000/646,944
  6. Step 6: Final answer
    x = 1,537,084.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.