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Finding the Third Proportional to 991,938 and 2,161,023

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Solution

The third proportional to 991,938 and 2,161,023 is: 4,707,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,938 : 2,161,023 = 2,161,023 : x
  2. Step 2: Convert to fraction form
    991,938/2,161,023 = 2,161,023/x
  3. Step 3: Cross multiply
    991,938x = 2,161,023 × 2,161,023
  4. Step 4: Simplify right side
    991,938x = 4,670,020,406,529
  5. Step 5: Solve for x
    x = 4,670,020,406,529/991,938
  6. Step 6: Final answer
    x = 4,707,976.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.