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Finding the Third Proportional to 1,122,306 and 2,402,184

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Solution

The third proportional to 1,122,306 and 2,402,184 is: 5,141,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122,306 : 2,402,184 = 2,402,184 : x
  2. Step 2: Convert to fraction form
    1,122,306/2,402,184 = 2,402,184/x
  3. Step 3: Cross multiply
    1,122,306x = 2,402,184 × 2,402,184
  4. Step 4: Simplify right side
    1,122,306x = 5,770,487,969,856
  5. Step 5: Solve for x
    x = 5,770,487,969,856/1,122,306
  6. Step 6: Final answer
    x = 5,141,635.14

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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.