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Finding the Third Proportional to 623,440 and 1,363,544

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Solution

The third proportional to 623,440 and 1,363,544 is: 2,982,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,440 : 1,363,544 = 1,363,544 : x
  2. Step 2: Convert to fraction form
    623,440/1,363,544 = 1,363,544/x
  3. Step 3: Cross multiply
    623,440x = 1,363,544 × 1,363,544
  4. Step 4: Simplify right side
    623,440x = 1,859,252,239,936
  5. Step 5: Solve for x
    x = 1,859,252,239,936/623,440
  6. Step 6: Final answer
    x = 2,982,247.27

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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.