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Finding the Third Proportional to 842,786 and 1,784,692

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Solution

The third proportional to 842,786 and 1,784,692 is: 3,779,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,786 : 1,784,692 = 1,784,692 : x
  2. Step 2: Convert to fraction form
    842,786/1,784,692 = 1,784,692/x
  3. Step 3: Cross multiply
    842,786x = 1,784,692 × 1,784,692
  4. Step 4: Simplify right side
    842,786x = 3,185,125,534,864
  5. Step 5: Solve for x
    x = 3,185,125,534,864/842,786
  6. Step 6: Final answer
    x = 3,779,281.50

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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.