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Finding the Third Proportional to 516,038 and 1,165,865.50

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Solution

The third proportional to 516,038 and 1,165,865.50 is: 2,633,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,038 : 1,165,865.50 = 1,165,865.50 : x
  2. Step 2: Convert to fraction form
    516,038/1,165,865.50 = 1,165,865.50/x
  3. Step 3: Cross multiply
    516,038x = 1,165,865.50 × 1,165,865.50
  4. Step 4: Simplify right side
    516,038x = 1,359,242,364,090.25
  5. Step 5: Solve for x
    x = 1,359,242,364,090.25/516,038
  6. Step 6: Final answer
    x = 2,633,996.65

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.