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Finding the Third Proportional to 2,317,142 and 5,046,196

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Solution

The third proportional to 2,317,142 and 5,046,196 is: 10,989,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317,142 : 5,046,196 = 5,046,196 : x
  2. Step 2: Convert to fraction form
    2,317,142/5,046,196 = 5,046,196/x
  3. Step 3: Cross multiply
    2,317,142x = 5,046,196 × 5,046,196
  4. Step 4: Simplify right side
    2,317,142x = 25,464,094,070,416
  5. Step 5: Solve for x
    x = 25,464,094,070,416/2,317,142
  6. Step 6: Final answer
    x = 10,989,440.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.