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Finding the Third Proportional to 484,824 and 1,030,926

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Solution

The third proportional to 484,824 and 1,030,926 is: 2,192,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,824 : 1,030,926 = 1,030,926 : x
  2. Step 2: Convert to fraction form
    484,824/1,030,926 = 1,030,926/x
  3. Step 3: Cross multiply
    484,824x = 1,030,926 × 1,030,926
  4. Step 4: Simplify right side
    484,824x = 1,062,808,417,476
  5. Step 5: Solve for x
    x = 1,062,808,417,476/484,824
  6. Step 6: Final answer
    x = 2,192,153.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.