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Finding the Third Proportional to 1,575,878 and 2,307,920

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Solution

The third proportional to 1,575,878 and 2,307,920 is: 3,380,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,878 : 2,307,920 = 2,307,920 : x
  2. Step 2: Convert to fraction form
    1,575,878/2,307,920 = 2,307,920/x
  3. Step 3: Cross multiply
    1,575,878x = 2,307,920 × 2,307,920
  4. Step 4: Simplify right side
    1,575,878x = 5,326,494,726,400
  5. Step 5: Solve for x
    x = 5,326,494,726,400/1,575,878
  6. Step 6: Final answer
    x = 3,380,017.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.