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Finding the Third Proportional to 1,010,720 and 2,178,904

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Solution

The third proportional to 1,010,720 and 2,178,904 is: 4,697,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,720 : 2,178,904 = 2,178,904 : x
  2. Step 2: Convert to fraction form
    1,010,720/2,178,904 = 2,178,904/x
  3. Step 3: Cross multiply
    1,010,720x = 2,178,904 × 2,178,904
  4. Step 4: Simplify right side
    1,010,720x = 4,747,622,641,216
  5. Step 5: Solve for x
    x = 4,747,622,641,216/1,010,720
  6. Step 6: Final answer
    x = 4,697,267.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.