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Finding the Third Proportional to 459,740 and 974,212

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Solution

The third proportional to 459,740 and 974,212 is: 2,064,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,740 : 974,212 = 974,212 : x
  2. Step 2: Convert to fraction form
    459,740/974,212 = 974,212/x
  3. Step 3: Cross multiply
    459,740x = 974,212 × 974,212
  4. Step 4: Simplify right side
    459,740x = 949,089,020,944
  5. Step 5: Solve for x
    x = 949,089,020,944/459,740
  6. Step 6: Final answer
    x = 2,064,403.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.