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Finding the Third Proportional to 946,454 and 1,430,965

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Solution

The third proportional to 946,454 and 1,430,965 is: 2,163,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,454 : 1,430,965 = 1,430,965 : x
  2. Step 2: Convert to fraction form
    946,454/1,430,965 = 1,430,965/x
  3. Step 3: Cross multiply
    946,454x = 1,430,965 × 1,430,965
  4. Step 4: Simplify right side
    946,454x = 2,047,660,831,225
  5. Step 5: Solve for x
    x = 2,047,660,831,225/946,454
  6. Step 6: Final answer
    x = 2,163,508.03

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Why These Related Problems?

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