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Finding the Third Proportional to 438,967.10 and 957,702.84

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Solution

The third proportional to 438,967.10 and 957,702.84 is: 2,089,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,967.10 : 957,702.84 = 957,702.84 : x
  2. Step 2: Convert to fraction form
    438,967.10/957,702.84 = 957,702.84/x
  3. Step 3: Cross multiply
    438,967.10x = 957,702.84 × 957,702.84
  4. Step 4: Simplify right side
    438,967.10x = 917,194,725,002.48
  5. Step 5: Solve for x
    x = 917,194,725,002.48/438,967.10
  6. Step 6: Final answer
    x = 2,089,438.42

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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.