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Finding the Third Proportional to 407,219 and 877,543

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Solution

The third proportional to 407,219 and 877,543 is: 1,891,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,219 : 877,543 = 877,543 : x
  2. Step 2: Convert to fraction form
    407,219/877,543 = 877,543/x
  3. Step 3: Cross multiply
    407,219x = 877,543 × 877,543
  4. Step 4: Simplify right side
    407,219x = 770,081,716,849
  5. Step 5: Solve for x
    x = 770,081,716,849/407,219
  6. Step 6: Final answer
    x = 1,891,075.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.