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Finding the Third Proportional to 640,810 and 1,364,442

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Solution

The third proportional to 640,810 and 1,364,442 is: 2,905,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,810 : 1,364,442 = 1,364,442 : x
  2. Step 2: Convert to fraction form
    640,810/1,364,442 = 1,364,442/x
  3. Step 3: Cross multiply
    640,810x = 1,364,442 × 1,364,442
  4. Step 4: Simplify right side
    640,810x = 1,861,701,971,364
  5. Step 5: Solve for x
    x = 1,861,701,971,364/640,810
  6. Step 6: Final answer
    x = 2,905,232.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.