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Finding the Third Proportional to 438,430 and 942,129

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Solution

The third proportional to 438,430 and 942,129 is: 2,024,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,430 : 942,129 = 942,129 : x
  2. Step 2: Convert to fraction form
    438,430/942,129 = 942,129/x
  3. Step 3: Cross multiply
    438,430x = 942,129 × 942,129
  4. Step 4: Simplify right side
    438,430x = 887,607,052,641
  5. Step 5: Solve for x
    x = 887,607,052,641/438,430
  6. Step 6: Final answer
    x = 2,024,512.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.