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Finding the Third Proportional to 390,103 and 835,502

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Solution

The third proportional to 390,103 and 835,502 is: 1,789,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,103 : 835,502 = 835,502 : x
  2. Step 2: Convert to fraction form
    390,103/835,502 = 835,502/x
  3. Step 3: Cross multiply
    390,103x = 835,502 × 835,502
  4. Step 4: Simplify right side
    390,103x = 698,063,592,004
  5. Step 5: Solve for x
    x = 698,063,592,004/390,103
  6. Step 6: Final answer
    x = 1,789,434.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.