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Finding the Third Proportional to 630,478.13 and 1,003,705.31

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Solution

The third proportional to 630,478.13 and 1,003,705.31 is: 1,597,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,478.13 : 1,003,705.31 = 1,003,705.31 : x
  2. Step 2: Convert to fraction form
    630,478.13/1,003,705.31 = 1,003,705.31/x
  3. Step 3: Cross multiply
    630,478.13x = 1,003,705.31 × 1,003,705.31
  4. Step 4: Simplify right side
    630,478.13x = 1,007,424,354,340.72
  5. Step 5: Solve for x
    x = 1,007,424,354,340.72/630,478.13
  6. Step 6: Final answer
    x = 1,597,873.60

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.