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Finding the Third Proportional to 968,636.81 and 2,114,307.56

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Solution

The third proportional to 968,636.81 and 2,114,307.56 is: 4,615,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,636.81 : 2,114,307.56 = 2,114,307.56 : x
  2. Step 2: Convert to fraction form
    968,636.81/2,114,307.56 = 2,114,307.56/x
  3. Step 3: Cross multiply
    968,636.81x = 2,114,307.56 × 2,114,307.56
  4. Step 4: Simplify right side
    968,636.81x = 4,470,296,468,844.69
  5. Step 5: Solve for x
    x = 4,470,296,468,844.69/968,636.81
  6. Step 6: Final answer
    x = 4,615,038.80

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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.