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Finding the Third Proportional to 624,352 and 1,348,544

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Solution

The third proportional to 624,352 and 1,348,544 is: 2,912,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,352 : 1,348,544 = 1,348,544 : x
  2. Step 2: Convert to fraction form
    624,352/1,348,544 = 1,348,544/x
  3. Step 3: Cross multiply
    624,352x = 1,348,544 × 1,348,544
  4. Step 4: Simplify right side
    624,352x = 1,818,570,919,936
  5. Step 5: Solve for x
    x = 1,818,570,919,936/624,352
  6. Step 6: Final answer
    x = 2,912,733.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.