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Finding the Third Proportional to 767,216.81 and 1,615,307.06

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Solution

The third proportional to 767,216.81 and 1,615,307.06 is: 3,400,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,216.81 : 1,615,307.06 = 1,615,307.06 : x
  2. Step 2: Convert to fraction form
    767,216.81/1,615,307.06 = 1,615,307.06/x
  3. Step 3: Cross multiply
    767,216.81x = 1,615,307.06 × 1,615,307.06
  4. Step 4: Simplify right side
    767,216.81x = 2,609,216,906,162.38
  5. Step 5: Solve for x
    x = 2,609,216,906,162.38/767,216.81
  6. Step 6: Final answer
    x = 3,400,885.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.