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Finding the Third Proportional to 790,605 and 1,724,321

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Solution

The third proportional to 790,605 and 1,724,321 is: 3,760,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,605 : 1,724,321 = 1,724,321 : x
  2. Step 2: Convert to fraction form
    790,605/1,724,321 = 1,724,321/x
  3. Step 3: Cross multiply
    790,605x = 1,724,321 × 1,724,321
  4. Step 4: Simplify right side
    790,605x = 2,973,282,911,041
  5. Step 5: Solve for x
    x = 2,973,282,911,041/790,605
  6. Step 6: Final answer
    x = 3,760,769.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.