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Finding the Third Proportional to 620,612.51 and 948,970.05

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Solution

The third proportional to 620,612.51 and 948,970.05 is: 1,451,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,612.51 : 948,970.05 = 948,970.05 : x
  2. Step 2: Convert to fraction form
    620,612.51/948,970.05 = 948,970.05/x
  3. Step 3: Cross multiply
    620,612.51x = 948,970.05 × 948,970.05
  4. Step 4: Simplify right side
    620,612.51x = 900,544,164,693.60
  5. Step 5: Solve for x
    x = 900,544,164,693.60/620,612.51
  6. Step 6: Final answer
    x = 1,451,057.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.