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Finding the Third Proportional to 829,803 and 1,690,044

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Solution

The third proportional to 829,803 and 1,690,044 is: 3,442,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,803 : 1,690,044 = 1,690,044 : x
  2. Step 2: Convert to fraction form
    829,803/1,690,044 = 1,690,044/x
  3. Step 3: Cross multiply
    829,803x = 1,690,044 × 1,690,044
  4. Step 4: Simplify right side
    829,803x = 2,856,248,721,936
  5. Step 5: Solve for x
    x = 2,856,248,721,936/829,803
  6. Step 6: Final answer
    x = 3,442,080.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.