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Finding the Third Proportional to 565,521 and 1,219,629

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Solution

The third proportional to 565,521 and 1,219,629 is: 2,630,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,521 : 1,219,629 = 1,219,629 : x
  2. Step 2: Convert to fraction form
    565,521/1,219,629 = 1,219,629/x
  3. Step 3: Cross multiply
    565,521x = 1,219,629 × 1,219,629
  4. Step 4: Simplify right side
    565,521x = 1,487,494,897,641
  5. Step 5: Solve for x
    x = 1,487,494,897,641/565,521
  6. Step 6: Final answer
    x = 2,630,308.86

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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.