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Finding the Third Proportional to 602,070 and 825,610

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Solution

The third proportional to 602,070 and 825,610 is: 1,132,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,070 : 825,610 = 825,610 : x
  2. Step 2: Convert to fraction form
    602,070/825,610 = 825,610/x
  3. Step 3: Cross multiply
    602,070x = 825,610 × 825,610
  4. Step 4: Simplify right side
    602,070x = 681,631,872,100
  5. Step 5: Solve for x
    x = 681,631,872,100/602,070
  6. Step 6: Final answer
    x = 1,132,147.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.