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Finding the Third Proportional to 551,720 and 1,182,184

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Solution

The third proportional to 551,720 and 1,182,184 is: 2,533,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,720 : 1,182,184 = 1,182,184 : x
  2. Step 2: Convert to fraction form
    551,720/1,182,184 = 1,182,184/x
  3. Step 3: Cross multiply
    551,720x = 1,182,184 × 1,182,184
  4. Step 4: Simplify right side
    551,720x = 1,397,559,009,856
  5. Step 5: Solve for x
    x = 1,397,559,009,856/551,720
  6. Step 6: Final answer
    x = 2,533,094.70

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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.