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Finding the Third Proportional to 929,760 and 1,309,284

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Solution

The third proportional to 929,760 and 1,309,284 is: 1,843,728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,760 : 1,309,284 = 1,309,284 : x
  2. Step 2: Convert to fraction form
    929,760/1,309,284 = 1,309,284/x
  3. Step 3: Cross multiply
    929,760x = 1,309,284 × 1,309,284
  4. Step 4: Simplify right side
    929,760x = 1,714,224,592,656
  5. Step 5: Solve for x
    x = 1,714,224,592,656/929,760
  6. Step 6: Final answer
    x = 1,843,728.05

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.