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Finding the Third Proportional to 407,284 and 877,646

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Solution

The third proportional to 407,284 and 877,646 is: 1,891,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,284 : 877,646 = 877,646 : x
  2. Step 2: Convert to fraction form
    407,284/877,646 = 877,646/x
  3. Step 3: Cross multiply
    407,284x = 877,646 × 877,646
  4. Step 4: Simplify right side
    407,284x = 770,262,501,316
  5. Step 5: Solve for x
    x = 770,262,501,316/407,284
  6. Step 6: Final answer
    x = 1,891,217.19

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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.