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Finding the Third Proportional to 829,053 and 1,784,952

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Solution

The third proportional to 829,053 and 1,784,952 is: 3,843,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,053 : 1,784,952 = 1,784,952 : x
  2. Step 2: Convert to fraction form
    829,053/1,784,952 = 1,784,952/x
  3. Step 3: Cross multiply
    829,053x = 1,784,952 × 1,784,952
  4. Step 4: Simplify right side
    829,053x = 3,186,053,642,304
  5. Step 5: Solve for x
    x = 3,186,053,642,304/829,053
  6. Step 6: Final answer
    x = 3,843,003.57

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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.