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Finding the Third Proportional to 489,011 and 1,036,900

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Solution

The third proportional to 489,011 and 1,036,900 is: 2,198,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,011 : 1,036,900 = 1,036,900 : x
  2. Step 2: Convert to fraction form
    489,011/1,036,900 = 1,036,900/x
  3. Step 3: Cross multiply
    489,011x = 1,036,900 × 1,036,900
  4. Step 4: Simplify right side
    489,011x = 1,075,161,610,000
  5. Step 5: Solve for x
    x = 1,075,161,610,000/489,011
  6. Step 6: Final answer
    x = 2,198,645.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.