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Finding the Third Proportional to 500,210 and 1,018,924

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Solution

The third proportional to 500,210 and 1,018,924 is: 2,075,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,210 : 1,018,924 = 1,018,924 : x
  2. Step 2: Convert to fraction form
    500,210/1,018,924 = 1,018,924/x
  3. Step 3: Cross multiply
    500,210x = 1,018,924 × 1,018,924
  4. Step 4: Simplify right side
    500,210x = 1,038,206,117,776
  5. Step 5: Solve for x
    x = 1,038,206,117,776/500,210
  6. Step 6: Final answer
    x = 2,075,540.51

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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.