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Finding the Third Proportional to 455,280 and 983,506

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Solution

The third proportional to 455,280 and 983,506 is: 2,124,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,280 : 983,506 = 983,506 : x
  2. Step 2: Convert to fraction form
    455,280/983,506 = 983,506/x
  3. Step 3: Cross multiply
    455,280x = 983,506 × 983,506
  4. Step 4: Simplify right side
    455,280x = 967,284,052,036
  5. Step 5: Solve for x
    x = 967,284,052,036/455,280
  6. Step 6: Final answer
    x = 2,124,591.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.