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Finding the Third Proportional to 830,419 and 1,355,984

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Solution

The third proportional to 830,419 and 1,355,984 is: 2,214,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,419 : 1,355,984 = 1,355,984 : x
  2. Step 2: Convert to fraction form
    830,419/1,355,984 = 1,355,984/x
  3. Step 3: Cross multiply
    830,419x = 1,355,984 × 1,355,984
  4. Step 4: Simplify right side
    830,419x = 1,838,692,608,256
  5. Step 5: Solve for x
    x = 1,838,692,608,256/830,419
  6. Step 6: Final answer
    x = 2,214,174.54

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.