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Finding the Third Proportional to 472,517 and 1,010,602

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Solution

The third proportional to 472,517 and 1,010,602 is: 2,161,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,517 : 1,010,602 = 1,010,602 : x
  2. Step 2: Convert to fraction form
    472,517/1,010,602 = 1,010,602/x
  3. Step 3: Cross multiply
    472,517x = 1,010,602 × 1,010,602
  4. Step 4: Simplify right side
    472,517x = 1,021,316,402,404
  5. Step 5: Solve for x
    x = 1,021,316,402,404/472,517
  6. Step 6: Final answer
    x = 2,161,438.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.