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Finding the Third Proportional to 525,148 and 1,266,091

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Solution

The third proportional to 525,148 and 1,266,091 is: 3,052,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,148 : 1,266,091 = 1,266,091 : x
  2. Step 2: Convert to fraction form
    525,148/1,266,091 = 1,266,091/x
  3. Step 3: Cross multiply
    525,148x = 1,266,091 × 1,266,091
  4. Step 4: Simplify right side
    525,148x = 1,602,986,420,281
  5. Step 5: Solve for x
    x = 1,602,986,420,281/525,148
  6. Step 6: Final answer
    x = 3,052,446.97

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.