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Finding the Third Proportional to 443,703,852 and 692,416,788.75

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Solution

The third proportional to 443,703,852 and 692,416,788.75 is: 1,080,542,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,703,852 : 692,416,788.75 = 692,416,788.75 : x
  2. Step 2: Convert to fraction form
    443,703,852/692,416,788.75 = 692,416,788.75/x
  3. Step 3: Cross multiply
    443,703,852x = 692,416,788.75 × 692,416,788.75
  4. Step 4: Simplify right side
    443,703,852x = 479,441,009,342,862,144
  5. Step 5: Solve for x
    x = 479,441,009,342,862,144/443,703,852
  6. Step 6: Final answer
    x = 1,080,542,815.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.