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Finding the Third Proportional to 436,363 and 912,446

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Solution

The third proportional to 436,363 and 912,446 is: 1,907,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,363 : 912,446 = 912,446 : x
  2. Step 2: Convert to fraction form
    436,363/912,446 = 912,446/x
  3. Step 3: Cross multiply
    436,363x = 912,446 × 912,446
  4. Step 4: Simplify right side
    436,363x = 832,557,702,916
  5. Step 5: Solve for x
    x = 832,557,702,916/436,363
  6. Step 6: Final answer
    x = 1,907,947.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.