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Finding the Third Proportional to 882,938 and 1,919,524

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Solution

The third proportional to 882,938 and 1,919,524 is: 4,173,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,938 : 1,919,524 = 1,919,524 : x
  2. Step 2: Convert to fraction form
    882,938/1,919,524 = 1,919,524/x
  3. Step 3: Cross multiply
    882,938x = 1,919,524 × 1,919,524
  4. Step 4: Simplify right side
    882,938x = 3,684,572,386,576
  5. Step 5: Solve for x
    x = 3,684,572,386,576/882,938
  6. Step 6: Final answer
    x = 4,173,081.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.