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Finding the Third Proportional to 657,911 and 1,367,534

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Solution

The third proportional to 657,911 and 1,367,534 is: 2,842,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,911 : 1,367,534 = 1,367,534 : x
  2. Step 2: Convert to fraction form
    657,911/1,367,534 = 1,367,534/x
  3. Step 3: Cross multiply
    657,911x = 1,367,534 × 1,367,534
  4. Step 4: Simplify right side
    657,911x = 1,870,149,241,156
  5. Step 5: Solve for x
    x = 1,870,149,241,156/657,911
  6. Step 6: Final answer
    x = 2,842,556.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.