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Finding the Third Proportional to 869,948 and 1,330,922.50

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Solution

The third proportional to 869,948 and 1,330,922.50 is: 2,036,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,948 : 1,330,922.50 = 1,330,922.50 : x
  2. Step 2: Convert to fraction form
    869,948/1,330,922.50 = 1,330,922.50/x
  3. Step 3: Cross multiply
    869,948x = 1,330,922.50 × 1,330,922.50
  4. Step 4: Simplify right side
    869,948x = 1,771,354,701,006.25
  5. Step 5: Solve for x
    x = 1,771,354,701,006.25/869,948
  6. Step 6: Final answer
    x = 2,036,161.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.