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Finding the Third Proportional to 488,106 and 1,051,223.06

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Solution

The third proportional to 488,106 and 1,051,223.06 is: 2,263,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,106 : 1,051,223.06 = 1,051,223.06 : x
  2. Step 2: Convert to fraction form
    488,106/1,051,223.06 = 1,051,223.06/x
  3. Step 3: Cross multiply
    488,106x = 1,051,223.06 × 1,051,223.06
  4. Step 4: Simplify right side
    488,106x = 1,105,069,927,131.88
  5. Step 5: Solve for x
    x = 1,105,069,927,131.88/488,106
  6. Step 6: Final answer
    x = 2,263,995.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.