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Finding the Third Proportional to 830,412 and 1,793,988

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Solution

The third proportional to 830,412 and 1,793,988 is: 3,875,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,412 : 1,793,988 = 1,793,988 : x
  2. Step 2: Convert to fraction form
    830,412/1,793,988 = 1,793,988/x
  3. Step 3: Cross multiply
    830,412x = 1,793,988 × 1,793,988
  4. Step 4: Simplify right side
    830,412x = 3,218,392,944,144
  5. Step 5: Solve for x
    x = 3,218,392,944,144/830,412
  6. Step 6: Final answer
    x = 3,875,658.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.