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Finding the Third Proportional to 691,284 and 1,072,890

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Solution

The third proportional to 691,284 and 1,072,890 is: 1,665,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,284 : 1,072,890 = 1,072,890 : x
  2. Step 2: Convert to fraction form
    691,284/1,072,890 = 1,072,890/x
  3. Step 3: Cross multiply
    691,284x = 1,072,890 × 1,072,890
  4. Step 4: Simplify right side
    691,284x = 1,151,092,952,100
  5. Step 5: Solve for x
    x = 1,151,092,952,100/691,284
  6. Step 6: Final answer
    x = 1,665,152.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.