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Finding the Third Proportional to 1,277,239 and 2,128,647

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Solution

The third proportional to 1,277,239 and 2,128,647 is: 3,547,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,239 : 2,128,647 = 2,128,647 : x
  2. Step 2: Convert to fraction form
    1,277,239/2,128,647 = 2,128,647/x
  3. Step 3: Cross multiply
    1,277,239x = 2,128,647 × 2,128,647
  4. Step 4: Simplify right side
    1,277,239x = 4,531,138,050,609
  5. Step 5: Solve for x
    x = 4,531,138,050,609/1,277,239
  6. Step 6: Final answer
    x = 3,547,603.89

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.