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Finding the Third Proportional to 701,411 and 1,510,987

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Solution

The third proportional to 701,411 and 1,510,987 is: 3,254,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,411 : 1,510,987 = 1,510,987 : x
  2. Step 2: Convert to fraction form
    701,411/1,510,987 = 1,510,987/x
  3. Step 3: Cross multiply
    701,411x = 1,510,987 × 1,510,987
  4. Step 4: Simplify right side
    701,411x = 2,283,081,714,169
  5. Step 5: Solve for x
    x = 2,283,081,714,169/701,411
  6. Step 6: Final answer
    x = 3,254,984.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.