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Finding the Third Proportional to 565,221 and 1,228,614

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Solution

The third proportional to 565,221 and 1,228,614 is: 2,670,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,221 : 1,228,614 = 1,228,614 : x
  2. Step 2: Convert to fraction form
    565,221/1,228,614 = 1,228,614/x
  3. Step 3: Cross multiply
    565,221x = 1,228,614 × 1,228,614
  4. Step 4: Simplify right side
    565,221x = 1,509,492,360,996
  5. Step 5: Solve for x
    x = 1,509,492,360,996/565,221
  6. Step 6: Final answer
    x = 2,670,623.28

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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.