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Finding the Third Proportional to 921,906 and 2,011,920

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Solution

The third proportional to 921,906 and 2,011,920 is: 4,390,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,906 : 2,011,920 = 2,011,920 : x
  2. Step 2: Convert to fraction form
    921,906/2,011,920 = 2,011,920/x
  3. Step 3: Cross multiply
    921,906x = 2,011,920 × 2,011,920
  4. Step 4: Simplify right side
    921,906x = 4,047,822,086,400
  5. Step 5: Solve for x
    x = 4,047,822,086,400/921,906
  6. Step 6: Final answer
    x = 4,390,710.21

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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.