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Finding the Third Proportional to 793,216 and 1,208,408

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Solution

The third proportional to 793,216 and 1,208,408 is: 1,840,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,216 : 1,208,408 = 1,208,408 : x
  2. Step 2: Convert to fraction form
    793,216/1,208,408 = 1,208,408/x
  3. Step 3: Cross multiply
    793,216x = 1,208,408 × 1,208,408
  4. Step 4: Simplify right side
    793,216x = 1,460,249,894,464
  5. Step 5: Solve for x
    x = 1,460,249,894,464/793,216
  6. Step 6: Final answer
    x = 1,840,923.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.