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Finding the Third Proportional to 830,007 and 1,250,852.63

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Solution

The third proportional to 830,007 and 1,250,852.63 is: 1,885,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,007 : 1,250,852.63 = 1,250,852.63 : x
  2. Step 2: Convert to fraction form
    830,007/1,250,852.63 = 1,250,852.63/x
  3. Step 3: Cross multiply
    830,007x = 1,250,852.63 × 1,250,852.63
  4. Step 4: Simplify right side
    830,007x = 1,564,632,289,469.39
  5. Step 5: Solve for x
    x = 1,564,632,289,469.39/830,007
  6. Step 6: Final answer
    x = 1,885,083.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.