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Finding the Third Proportional to 556,947 and 1,143,405

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Solution

The third proportional to 556,947 and 1,143,405 is: 2,347,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,947 : 1,143,405 = 1,143,405 : x
  2. Step 2: Convert to fraction form
    556,947/1,143,405 = 1,143,405/x
  3. Step 3: Cross multiply
    556,947x = 1,143,405 × 1,143,405
  4. Step 4: Simplify right side
    556,947x = 1,307,374,994,025
  5. Step 5: Solve for x
    x = 1,307,374,994,025/556,947
  6. Step 6: Final answer
    x = 2,347,395.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.