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Finding the Third Proportional to 829,070 and 1,784,980

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Solution

The third proportional to 829,070 and 1,784,980 is: 3,843,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,070 : 1,784,980 = 1,784,980 : x
  2. Step 2: Convert to fraction form
    829,070/1,784,980 = 1,784,980/x
  3. Step 3: Cross multiply
    829,070x = 1,784,980 × 1,784,980
  4. Step 4: Simplify right side
    829,070x = 3,186,153,600,400
  5. Step 5: Solve for x
    x = 3,186,153,600,400/829,070
  6. Step 6: Final answer
    x = 3,843,045.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.