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Finding the Third Proportional to 527,678.36 and 1,152,131.26

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Solution

The third proportional to 527,678.36 and 1,152,131.26 is: 2,515,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,678.36 : 1,152,131.26 = 1,152,131.26 : x
  2. Step 2: Convert to fraction form
    527,678.36/1,152,131.26 = 1,152,131.26/x
  3. Step 3: Cross multiply
    527,678.36x = 1,152,131.26 × 1,152,131.26
  4. Step 4: Simplify right side
    527,678.36x = 1,327,406,445,284.65
  5. Step 5: Solve for x
    x = 1,327,406,445,284.65/527,678.36
  6. Step 6: Final answer
    x = 2,515,559.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.