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Finding the Third Proportional to 539,896 and 838,140

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Solution

The third proportional to 539,896 and 838,140 is: 1,301,137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,896 : 838,140 = 838,140 : x
  2. Step 2: Convert to fraction form
    539,896/838,140 = 838,140/x
  3. Step 3: Cross multiply
    539,896x = 838,140 × 838,140
  4. Step 4: Simplify right side
    539,896x = 702,478,659,600
  5. Step 5: Solve for x
    x = 702,478,659,600/539,896
  6. Step 6: Final answer
    x = 1,301,137.00

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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.