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Finding the Third Proportional to 946,456 and 1,430,968

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Solution

The third proportional to 946,456 and 1,430,968 is: 2,163,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,456 : 1,430,968 = 1,430,968 : x
  2. Step 2: Convert to fraction form
    946,456/1,430,968 = 1,430,968/x
  3. Step 3: Cross multiply
    946,456x = 1,430,968 × 1,430,968
  4. Step 4: Simplify right side
    946,456x = 2,047,669,417,024
  5. Step 5: Solve for x
    x = 2,047,669,417,024/946,456
  6. Step 6: Final answer
    x = 2,163,512.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.