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Finding the Third Proportional to 503,609 and 1,030,488

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Solution

The third proportional to 503,609 and 1,030,488 is: 2,108,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,609 : 1,030,488 = 1,030,488 : x
  2. Step 2: Convert to fraction form
    503,609/1,030,488 = 1,030,488/x
  3. Step 3: Cross multiply
    503,609x = 1,030,488 × 1,030,488
  4. Step 4: Simplify right side
    503,609x = 1,061,905,518,144
  5. Step 5: Solve for x
    x = 1,061,905,518,144/503,609
  6. Step 6: Final answer
    x = 2,108,591.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.