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Finding the Third Proportional to 829,699.88 and 1,252,135.13

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Solution

The third proportional to 829,699.88 and 1,252,135.13 is: 1,889,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,699.88 : 1,252,135.13 = 1,252,135.13 : x
  2. Step 2: Convert to fraction form
    829,699.88/1,252,135.13 = 1,252,135.13/x
  3. Step 3: Cross multiply
    829,699.88x = 1,252,135.13 × 1,252,135.13
  4. Step 4: Simplify right side
    829,699.88x = 1,567,842,371,258.77
  5. Step 5: Solve for x
    x = 1,567,842,371,258.77/829,699.88
  6. Step 6: Final answer
    x = 1,889,650.00

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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.