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Finding the Third Proportional to 882,642 and 1,905,220

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Solution

The third proportional to 882,642 and 1,905,220 is: 4,112,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,642 : 1,905,220 = 1,905,220 : x
  2. Step 2: Convert to fraction form
    882,642/1,905,220 = 1,905,220/x
  3. Step 3: Cross multiply
    882,642x = 1,905,220 × 1,905,220
  4. Step 4: Simplify right side
    882,642x = 3,629,863,248,400
  5. Step 5: Solve for x
    x = 3,629,863,248,400/882,642
  6. Step 6: Final answer
    x = 4,112,497.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.