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Finding the Third Proportional to 390,101 and 835,498

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Solution

The third proportional to 390,101 and 835,498 is: 1,789,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,101 : 835,498 = 835,498 : x
  2. Step 2: Convert to fraction form
    390,101/835,498 = 835,498/x
  3. Step 3: Cross multiply
    390,101x = 835,498 × 835,498
  4. Step 4: Simplify right side
    390,101x = 698,056,908,004
  5. Step 5: Solve for x
    x = 698,056,908,004/390,101
  6. Step 6: Final answer
    x = 1,789,426.09

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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.