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Finding the Third Proportional to 921,694 and 1,916,964

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Solution

The third proportional to 921,694 and 1,916,964 is: 3,986,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,694 : 1,916,964 = 1,916,964 : x
  2. Step 2: Convert to fraction form
    921,694/1,916,964 = 1,916,964/x
  3. Step 3: Cross multiply
    921,694x = 1,916,964 × 1,916,964
  4. Step 4: Simplify right side
    921,694x = 3,674,750,977,296
  5. Step 5: Solve for x
    x = 3,674,750,977,296/921,694
  6. Step 6: Final answer
    x = 3,986,953.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.