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Finding the Third Proportional to 689,955 and 1,059,076.50

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Solution

The third proportional to 689,955 and 1,059,076.50 is: 1,625,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,955 : 1,059,076.50 = 1,059,076.50 : x
  2. Step 2: Convert to fraction form
    689,955/1,059,076.50 = 1,059,076.50/x
  3. Step 3: Cross multiply
    689,955x = 1,059,076.50 × 1,059,076.50
  4. Step 4: Simplify right side
    689,955x = 1,121,643,032,852.25
  5. Step 5: Solve for x
    x = 1,121,643,032,852.25/689,955
  6. Step 6: Final answer
    x = 1,625,675.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.