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Finding the Third Proportional to 830,984 and 1,789,076

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Solution

The third proportional to 830,984 and 1,789,076 is: 3,851,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,984 : 1,789,076 = 1,789,076 : x
  2. Step 2: Convert to fraction form
    830,984/1,789,076 = 1,789,076/x
  3. Step 3: Cross multiply
    830,984x = 1,789,076 × 1,789,076
  4. Step 4: Simplify right side
    830,984x = 3,200,792,933,776
  5. Step 5: Solve for x
    x = 3,200,792,933,776/830,984
  6. Step 6: Final answer
    x = 3,851,810.54

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