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Finding the Third Proportional to 500,208 and 1,018,920

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Solution

The third proportional to 500,208 and 1,018,920 is: 2,075,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,208 : 1,018,920 = 1,018,920 : x
  2. Step 2: Convert to fraction form
    500,208/1,018,920 = 1,018,920/x
  3. Step 3: Cross multiply
    500,208x = 1,018,920 × 1,018,920
  4. Step 4: Simplify right side
    500,208x = 1,038,197,966,400
  5. Step 5: Solve for x
    x = 1,038,197,966,400/500,208
  6. Step 6: Final answer
    x = 2,075,532.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.