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Finding the Third Proportional to 781,436 and 1,658,796

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Solution

The third proportional to 781,436 and 1,658,796 is: 3,521,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,436 : 1,658,796 = 1,658,796 : x
  2. Step 2: Convert to fraction form
    781,436/1,658,796 = 1,658,796/x
  3. Step 3: Cross multiply
    781,436x = 1,658,796 × 1,658,796
  4. Step 4: Simplify right side
    781,436x = 2,751,604,169,616
  5. Step 5: Solve for x
    x = 2,751,604,169,616/781,436
  6. Step 6: Final answer
    x = 3,521,215.01

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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.