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Finding the Third Proportional to 877,203 and 1,921,941

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Solution

The third proportional to 877,203 and 1,921,941 is: 4,210,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,203 : 1,921,941 = 1,921,941 : x
  2. Step 2: Convert to fraction form
    877,203/1,921,941 = 1,921,941/x
  3. Step 3: Cross multiply
    877,203x = 1,921,941 × 1,921,941
  4. Step 4: Simplify right side
    877,203x = 3,693,857,207,481
  5. Step 5: Solve for x
    x = 3,693,857,207,481/877,203
  6. Step 6: Final answer
    x = 4,210,949.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.