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Finding the Third Proportional to 489,054 and 1,009,536

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Solution

The third proportional to 489,054 and 1,009,536 is: 2,083,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,054 : 1,009,536 = 1,009,536 : x
  2. Step 2: Convert to fraction form
    489,054/1,009,536 = 1,009,536/x
  3. Step 3: Cross multiply
    489,054x = 1,009,536 × 1,009,536
  4. Step 4: Simplify right side
    489,054x = 1,019,162,935,296
  5. Step 5: Solve for x
    x = 1,019,162,935,296/489,054
  6. Step 6: Final answer
    x = 2,083,947.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.