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Finding the Third Proportional to 1,260,726 and 2,698,620

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Solution

The third proportional to 1,260,726 and 2,698,620 is: 5,776,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,726 : 2,698,620 = 2,698,620 : x
  2. Step 2: Convert to fraction form
    1,260,726/2,698,620 = 2,698,620/x
  3. Step 3: Cross multiply
    1,260,726x = 2,698,620 × 2,698,620
  4. Step 4: Simplify right side
    1,260,726x = 7,282,549,904,400
  5. Step 5: Solve for x
    x = 7,282,549,904,400/1,260,726
  6. Step 6: Final answer
    x = 5,776,473.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.