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Finding the Third Proportional to 647,070 and 1,405,918

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Solution

The third proportional to 647,070 and 1,405,918 is: 3,054,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,070 : 1,405,918 = 1,405,918 : x
  2. Step 2: Convert to fraction form
    647,070/1,405,918 = 1,405,918/x
  3. Step 3: Cross multiply
    647,070x = 1,405,918 × 1,405,918
  4. Step 4: Simplify right side
    647,070x = 1,976,605,422,724
  5. Step 5: Solve for x
    x = 1,976,605,422,724/647,070
  6. Step 6: Final answer
    x = 3,054,701.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.