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Finding the Third Proportional to 948,780 and 1,477,602

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Solution

The third proportional to 948,780 and 1,477,602 is: 2,301,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,780 : 1,477,602 = 1,477,602 : x
  2. Step 2: Convert to fraction form
    948,780/1,477,602 = 1,477,602/x
  3. Step 3: Cross multiply
    948,780x = 1,477,602 × 1,477,602
  4. Step 4: Simplify right side
    948,780x = 2,183,307,670,404
  5. Step 5: Solve for x
    x = 2,183,307,670,404/948,780
  6. Step 6: Final answer
    x = 2,301,173.79

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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.