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Finding the Third Proportional to 922,208 and 1,411,296

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Solution

The third proportional to 922,208 and 1,411,296 is: 2,159,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,208 : 1,411,296 = 1,411,296 : x
  2. Step 2: Convert to fraction form
    922,208/1,411,296 = 1,411,296/x
  3. Step 3: Cross multiply
    922,208x = 1,411,296 × 1,411,296
  4. Step 4: Simplify right side
    922,208x = 1,991,756,399,616
  5. Step 5: Solve for x
    x = 1,991,756,399,616/922,208
  6. Step 6: Final answer
    x = 2,159,769.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.