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Finding the Third Proportional to 748,645 and 1,623,410

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Solution

The third proportional to 748,645 and 1,623,410 is: 3,520,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,645 : 1,623,410 = 1,623,410 : x
  2. Step 2: Convert to fraction form
    748,645/1,623,410 = 1,623,410/x
  3. Step 3: Cross multiply
    748,645x = 1,623,410 × 1,623,410
  4. Step 4: Simplify right side
    748,645x = 2,635,460,028,100
  5. Step 5: Solve for x
    x = 2,635,460,028,100/748,645
  6. Step 6: Final answer
    x = 3,520,306.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.