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Finding the Third Proportional to 478,878 and 1,047,504

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Solution

The third proportional to 478,878 and 1,047,504 is: 2,291,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,878 : 1,047,504 = 1,047,504 : x
  2. Step 2: Convert to fraction form
    478,878/1,047,504 = 1,047,504/x
  3. Step 3: Cross multiply
    478,878x = 1,047,504 × 1,047,504
  4. Step 4: Simplify right side
    478,878x = 1,097,264,630,016
  5. Step 5: Solve for x
    x = 1,097,264,630,016/478,878
  6. Step 6: Final answer
    x = 2,291,323.95

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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.