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Finding the Third Proportional to 507,001 and 1,101,590

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Solution

The third proportional to 507,001 and 1,101,590 is: 2,393,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,001 : 1,101,590 = 1,101,590 : x
  2. Step 2: Convert to fraction form
    507,001/1,101,590 = 1,101,590/x
  3. Step 3: Cross multiply
    507,001x = 1,101,590 × 1,101,590
  4. Step 4: Simplify right side
    507,001x = 1,213,500,528,100
  5. Step 5: Solve for x
    x = 1,213,500,528,100/507,001
  6. Step 6: Final answer
    x = 2,393,487.44

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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.