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Finding the Third Proportional to 960,938 and 1,473,984

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Solution

The third proportional to 960,938 and 1,473,984 is: 2,260,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,938 : 1,473,984 = 1,473,984 : x
  2. Step 2: Convert to fraction form
    960,938/1,473,984 = 1,473,984/x
  3. Step 3: Cross multiply
    960,938x = 1,473,984 × 1,473,984
  4. Step 4: Simplify right side
    960,938x = 2,172,628,832,256
  5. Step 5: Solve for x
    x = 2,172,628,832,256/960,938
  6. Step 6: Final answer
    x = 2,260,945.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.