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Finding the Third Proportional to 565,059 and 1,223,430

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Solution

The third proportional to 565,059 and 1,223,430 is: 2,648,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,059 : 1,223,430 = 1,223,430 : x
  2. Step 2: Convert to fraction form
    565,059/1,223,430 = 1,223,430/x
  3. Step 3: Cross multiply
    565,059x = 1,223,430 × 1,223,430
  4. Step 4: Simplify right side
    565,059x = 1,496,780,964,900
  5. Step 5: Solve for x
    x = 1,496,780,964,900/565,059
  6. Step 6: Final answer
    x = 2,648,893.24

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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.