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Finding the Third Proportional to 685,810 and 1,507,367

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Solution

The third proportional to 685,810 and 1,507,367 is: 3,313,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,810 : 1,507,367 = 1,507,367 : x
  2. Step 2: Convert to fraction form
    685,810/1,507,367 = 1,507,367/x
  3. Step 3: Cross multiply
    685,810x = 1,507,367 × 1,507,367
  4. Step 4: Simplify right side
    685,810x = 2,272,155,272,689
  5. Step 5: Solve for x
    x = 2,272,155,272,689/685,810
  6. Step 6: Final answer
    x = 3,313,097.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.