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Finding the Third Proportional to 624,470 and 1,473,656

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Solution

The third proportional to 624,470 and 1,473,656 is: 3,477,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,470 : 1,473,656 = 1,473,656 : x
  2. Step 2: Convert to fraction form
    624,470/1,473,656 = 1,473,656/x
  3. Step 3: Cross multiply
    624,470x = 1,473,656 × 1,473,656
  4. Step 4: Simplify right side
    624,470x = 2,171,662,006,336
  5. Step 5: Solve for x
    x = 2,171,662,006,336/624,470
  6. Step 6: Final answer
    x = 3,477,608.22

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.