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Finding the Third Proportional to 622,070 and 880,065

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Solution

The third proportional to 622,070 and 880,065 is: 1,245,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,070 : 880,065 = 880,065 : x
  2. Step 2: Convert to fraction form
    622,070/880,065 = 880,065/x
  3. Step 3: Cross multiply
    622,070x = 880,065 × 880,065
  4. Step 4: Simplify right side
    622,070x = 774,514,404,225
  5. Step 5: Solve for x
    x = 774,514,404,225/622,070
  6. Step 6: Final answer
    x = 1,245,059.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.