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Finding the Third Proportional to 841,309 and 1,824,570

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Solution

The third proportional to 841,309 and 1,824,570 is: 3,956,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,309 : 1,824,570 = 1,824,570 : x
  2. Step 2: Convert to fraction form
    841,309/1,824,570 = 1,824,570/x
  3. Step 3: Cross multiply
    841,309x = 1,824,570 × 1,824,570
  4. Step 4: Simplify right side
    841,309x = 3,329,055,684,900
  5. Step 5: Solve for x
    x = 3,329,055,684,900/841,309
  6. Step 6: Final answer
    x = 3,956,995.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.