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Finding the Third Proportional to 491,330.81 and 1,041,710.63

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Solution

The third proportional to 491,330.81 and 1,041,710.63 is: 2,208,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,330.81 : 1,041,710.63 = 1,041,710.63 : x
  2. Step 2: Convert to fraction form
    491,330.81/1,041,710.63 = 1,041,710.63/x
  3. Step 3: Cross multiply
    491,330.81x = 1,041,710.63 × 1,041,710.63
  4. Step 4: Simplify right side
    491,330.81x = 1,085,161,026,237.89
  5. Step 5: Solve for x
    x = 1,085,161,026,237.89/491,330.81
  6. Step 6: Final answer
    x = 2,208,615.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.