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Finding the Third Proportional to 1,927,464 and 2,822,076

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Solution

The third proportional to 1,927,464 and 2,822,076 is: 4,131,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927,464 : 2,822,076 = 2,822,076 : x
  2. Step 2: Convert to fraction form
    1,927,464/2,822,076 = 2,822,076/x
  3. Step 3: Cross multiply
    1,927,464x = 2,822,076 × 2,822,076
  4. Step 4: Simplify right side
    1,927,464x = 7,964,112,949,776
  5. Step 5: Solve for x
    x = 7,964,112,949,776/1,927,464
  6. Step 6: Final answer
    x = 4,131,912.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.