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Finding the Third Proportional to 623,864 and 1,352,614

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Solution

The third proportional to 623,864 and 1,352,614 is: 2,932,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,864 : 1,352,614 = 1,352,614 : x
  2. Step 2: Convert to fraction form
    623,864/1,352,614 = 1,352,614/x
  3. Step 3: Cross multiply
    623,864x = 1,352,614 × 1,352,614
  4. Step 4: Simplify right side
    623,864x = 1,829,564,632,996
  5. Step 5: Solve for x
    x = 1,829,564,632,996/623,864
  6. Step 6: Final answer
    x = 2,932,633.77

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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.