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Finding the Third Proportional to 983,945 and 2,122,924

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Solution

The third proportional to 983,945 and 2,122,924 is: 4,580,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,945 : 2,122,924 = 2,122,924 : x
  2. Step 2: Convert to fraction form
    983,945/2,122,924 = 2,122,924/x
  3. Step 3: Cross multiply
    983,945x = 2,122,924 × 2,122,924
  4. Step 4: Simplify right side
    983,945x = 4,506,806,309,776
  5. Step 5: Solve for x
    x = 4,506,806,309,776/983,945
  6. Step 6: Final answer
    x = 4,580,343.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.