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Finding the Third Proportional to 551,352 and 1,187,178

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Solution

The third proportional to 551,352 and 1,187,178 is: 2,556,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,352 : 1,187,178 = 1,187,178 : x
  2. Step 2: Convert to fraction form
    551,352/1,187,178 = 1,187,178/x
  3. Step 3: Cross multiply
    551,352x = 1,187,178 × 1,187,178
  4. Step 4: Simplify right side
    551,352x = 1,409,391,603,684
  5. Step 5: Solve for x
    x = 1,409,391,603,684/551,352
  6. Step 6: Final answer
    x = 2,556,246.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.