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Finding the Third Proportional to 500,916 and 1,097,340

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Solution

The third proportional to 500,916 and 1,097,340 is: 2,403,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,916 : 1,097,340 = 1,097,340 : x
  2. Step 2: Convert to fraction form
    500,916/1,097,340 = 1,097,340/x
  3. Step 3: Cross multiply
    500,916x = 1,097,340 × 1,097,340
  4. Step 4: Simplify right side
    500,916x = 1,204,155,075,600
  5. Step 5: Solve for x
    x = 1,204,155,075,600/500,916
  6. Step 6: Final answer
    x = 2,403,906.20

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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.