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Finding the Third Proportional to 717,416,242 and 1,492,089,602

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Solution

The third proportional to 717,416,242 and 1,492,089,602 is: 3,103,263,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,416,242 : 1,492,089,602 = 1,492,089,602 : x
  2. Step 2: Convert to fraction form
    717,416,242/1,492,089,602 = 1,492,089,602/x
  3. Step 3: Cross multiply
    717,416,242x = 1,492,089,602 × 1,492,089,602
  4. Step 4: Simplify right side
    717,416,242x = 2,226,331,380,396,518,400
  5. Step 5: Solve for x
    x = 2,226,331,380,396,518,400/717,416,242
  6. Step 6: Final answer
    x = 3,103,263,140.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.