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Finding the Third Proportional to 2,599,322.63 and 5,796,307.13

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Solution

The third proportional to 2,599,322.63 and 5,796,307.13 is: 12,925,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599,322.63 : 5,796,307.13 = 5,796,307.13 : x
  2. Step 2: Convert to fraction form
    2,599,322.63/5,796,307.13 = 5,796,307.13/x
  3. Step 3: Cross multiply
    2,599,322.63x = 5,796,307.13 × 5,796,307.13
  4. Step 4: Simplify right side
    2,599,322.63x = 33,597,176,287,325.77
  5. Step 5: Solve for x
    x = 33,597,176,287,325.77/2,599,322.63
  6. Step 6: Final answer
    x = 12,925,358.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.