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Finding the Third Proportional to 763,038 and 1,658,799.75

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Solution

The third proportional to 763,038 and 1,658,799.75 is: 3,606,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,038 : 1,658,799.75 = 1,658,799.75 : x
  2. Step 2: Convert to fraction form
    763,038/1,658,799.75 = 1,658,799.75/x
  3. Step 3: Cross multiply
    763,038x = 1,658,799.75 × 1,658,799.75
  4. Step 4: Simplify right side
    763,038x = 2,751,616,610,600.06
  5. Step 5: Solve for x
    x = 2,751,616,610,600.06/763,038
  6. Step 6: Final answer
    x = 3,606,133.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.