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Finding the Third Proportional to 946,362 and 1,430,832

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Solution

The third proportional to 946,362 and 1,430,832 is: 2,163,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,362 : 1,430,832 = 1,430,832 : x
  2. Step 2: Convert to fraction form
    946,362/1,430,832 = 1,430,832/x
  3. Step 3: Cross multiply
    946,362x = 1,430,832 × 1,430,832
  4. Step 4: Simplify right side
    946,362x = 2,047,280,212,224
  5. Step 5: Solve for x
    x = 2,047,280,212,224/946,362
  6. Step 6: Final answer
    x = 2,163,316.16

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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.