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Finding the Third Proportional to 623,324 and 1,364,880

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Solution

The third proportional to 623,324 and 1,364,880 is: 2,988,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,324 : 1,364,880 = 1,364,880 : x
  2. Step 2: Convert to fraction form
    623,324/1,364,880 = 1,364,880/x
  3. Step 3: Cross multiply
    623,324x = 1,364,880 × 1,364,880
  4. Step 4: Simplify right side
    623,324x = 1,862,897,414,400
  5. Step 5: Solve for x
    x = 1,862,897,414,400/623,324
  6. Step 6: Final answer
    x = 2,988,650.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.