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Finding the Third Proportional to 1,278,788 and 1,909,407

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Solution

The third proportional to 1,278,788 and 1,909,407 is: 2,851,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,788 : 1,909,407 = 1,909,407 : x
  2. Step 2: Convert to fraction form
    1,278,788/1,909,407 = 1,909,407/x
  3. Step 3: Cross multiply
    1,278,788x = 1,909,407 × 1,909,407
  4. Step 4: Simplify right side
    1,278,788x = 3,645,835,091,649
  5. Step 5: Solve for x
    x = 3,645,835,091,649/1,278,788
  6. Step 6: Final answer
    x = 2,851,008.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.