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Finding the Third Proportional to 602,724 and 933,858

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Solution

The third proportional to 602,724 and 933,858 is: 1,446,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,724 : 933,858 = 933,858 : x
  2. Step 2: Convert to fraction form
    602,724/933,858 = 933,858/x
  3. Step 3: Cross multiply
    602,724x = 933,858 × 933,858
  4. Step 4: Simplify right side
    602,724x = 872,090,764,164
  5. Step 5: Solve for x
    x = 872,090,764,164/602,724
  6. Step 6: Final answer
    x = 1,446,915.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.