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Finding the Third Proportional to 499,024 and 1,091,360

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Solution

The third proportional to 499,024 and 1,091,360 is: 2,386,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,024 : 1,091,360 = 1,091,360 : x
  2. Step 2: Convert to fraction form
    499,024/1,091,360 = 1,091,360/x
  3. Step 3: Cross multiply
    499,024x = 1,091,360 × 1,091,360
  4. Step 4: Simplify right side
    499,024x = 1,191,066,649,600
  5. Step 5: Solve for x
    x = 1,191,066,649,600/499,024
  6. Step 6: Final answer
    x = 2,386,792.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.