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Finding the Third Proportional to 1,038,570.75 and 2,159,698.50

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Solution

The third proportional to 1,038,570.75 and 2,159,698.50 is: 4,491,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,570.75 : 2,159,698.50 = 2,159,698.50 : x
  2. Step 2: Convert to fraction form
    1,038,570.75/2,159,698.50 = 2,159,698.50/x
  3. Step 3: Cross multiply
    1,038,570.75x = 2,159,698.50 × 2,159,698.50
  4. Step 4: Simplify right side
    1,038,570.75x = 4,664,297,610,902.25
  5. Step 5: Solve for x
    x = 4,664,297,610,902.25/1,038,570.75
  6. Step 6: Final answer
    x = 4,491,073.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.