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Finding the Third Proportional to 787,534 and 1,686,938

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Solution

The third proportional to 787,534 and 1,686,938 is: 3,613,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,534 : 1,686,938 = 1,686,938 : x
  2. Step 2: Convert to fraction form
    787,534/1,686,938 = 1,686,938/x
  3. Step 3: Cross multiply
    787,534x = 1,686,938 × 1,686,938
  4. Step 4: Simplify right side
    787,534x = 2,845,759,815,844
  5. Step 5: Solve for x
    x = 2,845,759,815,844/787,534
  6. Step 6: Final answer
    x = 3,613,507.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.