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Finding the Third Proportional to 1,969,920 and 2,830,464

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Solution

The third proportional to 1,969,920 and 2,830,464 is: 4,066,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,920 : 2,830,464 = 2,830,464 : x
  2. Step 2: Convert to fraction form
    1,969,920/2,830,464 = 2,830,464/x
  3. Step 3: Cross multiply
    1,969,920x = 2,830,464 × 2,830,464
  4. Step 4: Simplify right side
    1,969,920x = 8,011,526,455,296
  5. Step 5: Solve for x
    x = 8,011,526,455,296/1,969,920
  6. Step 6: Final answer
    x = 4,066,929.85

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.