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Finding the Third Proportional to 1,277,316 and 1,776,006

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Solution

The third proportional to 1,277,316 and 1,776,006 is: 2,469,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,316 : 1,776,006 = 1,776,006 : x
  2. Step 2: Convert to fraction form
    1,277,316/1,776,006 = 1,776,006/x
  3. Step 3: Cross multiply
    1,277,316x = 1,776,006 × 1,776,006
  4. Step 4: Simplify right side
    1,277,316x = 3,154,197,312,036
  5. Step 5: Solve for x
    x = 3,154,197,312,036/1,277,316
  6. Step 6: Final answer
    x = 2,469,394.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.