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Finding the Third Proportional to 498,848.63 and 1,094,266.13

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Solution

The third proportional to 498,848.63 and 1,094,266.13 is: 2,400,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,848.63 : 1,094,266.13 = 1,094,266.13 : x
  2. Step 2: Convert to fraction form
    498,848.63/1,094,266.13 = 1,094,266.13/x
  3. Step 3: Cross multiply
    498,848.63x = 1,094,266.13 × 1,094,266.13
  4. Step 4: Simplify right side
    498,848.63x = 1,197,418,352,322.52
  5. Step 5: Solve for x
    x = 1,197,418,352,322.52/498,848.63
  6. Step 6: Final answer
    x = 2,400,364.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.