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Finding the Third Proportional to 689,796 and 1,507,896

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Solution

The third proportional to 689,796 and 1,507,896 is: 3,296,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,796 : 1,507,896 = 1,507,896 : x
  2. Step 2: Convert to fraction form
    689,796/1,507,896 = 1,507,896/x
  3. Step 3: Cross multiply
    689,796x = 1,507,896 × 1,507,896
  4. Step 4: Simplify right side
    689,796x = 2,273,750,346,816
  5. Step 5: Solve for x
    x = 2,273,750,346,816/689,796
  6. Step 6: Final answer
    x = 3,296,264.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.