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Finding the Third Proportional to 702,777 and 1,540,986

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Solution

The third proportional to 702,777 and 1,540,986 is: 3,378,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,777 : 1,540,986 = 1,540,986 : x
  2. Step 2: Convert to fraction form
    702,777/1,540,986 = 1,540,986/x
  3. Step 3: Cross multiply
    702,777x = 1,540,986 × 1,540,986
  4. Step 4: Simplify right side
    702,777x = 2,374,637,852,196
  5. Step 5: Solve for x
    x = 2,374,637,852,196/702,777
  6. Step 6: Final answer
    x = 3,378,935.07

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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.