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Finding the Third Proportional to 727,920 and 1,575,072

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Solution

The third proportional to 727,920 and 1,575,072 is: 3,408,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,920 : 1,575,072 = 1,575,072 : x
  2. Step 2: Convert to fraction form
    727,920/1,575,072 = 1,575,072/x
  3. Step 3: Cross multiply
    727,920x = 1,575,072 × 1,575,072
  4. Step 4: Simplify right side
    727,920x = 2,480,851,805,184
  5. Step 5: Solve for x
    x = 2,480,851,805,184/727,920
  6. Step 6: Final answer
    x = 3,408,137.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.