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Finding the Third Proportional to 830,421 and 1,794,006

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Solution

The third proportional to 830,421 and 1,794,006 is: 3,875,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,421 : 1,794,006 = 1,794,006 : x
  2. Step 2: Convert to fraction form
    830,421/1,794,006 = 1,794,006/x
  3. Step 3: Cross multiply
    830,421x = 1,794,006 × 1,794,006
  4. Step 4: Simplify right side
    830,421x = 3,218,457,528,036
  5. Step 5: Solve for x
    x = 3,218,457,528,036/830,421
  6. Step 6: Final answer
    x = 3,875,693.81

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Why These Related Problems?

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