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Finding the Third Proportional to 624,221 and 1,346,777

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Solution

The third proportional to 624,221 and 1,346,777 is: 2,905,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,221 : 1,346,777 = 1,346,777 : x
  2. Step 2: Convert to fraction form
    624,221/1,346,777 = 1,346,777/x
  3. Step 3: Cross multiply
    624,221x = 1,346,777 × 1,346,777
  4. Step 4: Simplify right side
    624,221x = 1,813,808,287,729
  5. Step 5: Solve for x
    x = 1,813,808,287,729/624,221
  6. Step 6: Final answer
    x = 2,905,714.94

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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.