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Finding the Third Proportional to 553,683 and 1,203,411

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Solution

The third proportional to 553,683 and 1,203,411 is: 2,615,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,683 : 1,203,411 = 1,203,411 : x
  2. Step 2: Convert to fraction form
    553,683/1,203,411 = 1,203,411/x
  3. Step 3: Cross multiply
    553,683x = 1,203,411 × 1,203,411
  4. Step 4: Simplify right side
    553,683x = 1,448,198,034,921
  5. Step 5: Solve for x
    x = 1,448,198,034,921/553,683
  6. Step 6: Final answer
    x = 2,615,572.51

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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.