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Finding the Third Proportional to 689,078 and 1,010,248

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Solution

The third proportional to 689,078 and 1,010,248 is: 1,481,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,078 : 1,010,248 = 1,010,248 : x
  2. Step 2: Convert to fraction form
    689,078/1,010,248 = 1,010,248/x
  3. Step 3: Cross multiply
    689,078x = 1,010,248 × 1,010,248
  4. Step 4: Simplify right side
    689,078x = 1,020,601,021,504
  5. Step 5: Solve for x
    x = 1,020,601,021,504/689,078
  6. Step 6: Final answer
    x = 1,481,111.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.