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Finding the Third Proportional to 1,290,924 and 1,894,914

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Solution

The third proportional to 1,290,924 and 1,894,914 is: 2,781,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,924 : 1,894,914 = 1,894,914 : x
  2. Step 2: Convert to fraction form
    1,290,924/1,894,914 = 1,894,914/x
  3. Step 3: Cross multiply
    1,290,924x = 1,894,914 × 1,894,914
  4. Step 4: Simplify right side
    1,290,924x = 3,590,699,067,396
  5. Step 5: Solve for x
    x = 3,590,699,067,396/1,290,924
  6. Step 6: Final answer
    x = 2,781,495.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.