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Finding the Third Proportional to 897,723 and 1,919,862

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Solution

The third proportional to 897,723 and 1,919,862 is: 4,105,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,723 : 1,919,862 = 1,919,862 : x
  2. Step 2: Convert to fraction form
    897,723/1,919,862 = 1,919,862/x
  3. Step 3: Cross multiply
    897,723x = 1,919,862 × 1,919,862
  4. Step 4: Simplify right side
    897,723x = 3,685,870,099,044
  5. Step 5: Solve for x
    x = 3,685,870,099,044/897,723
  6. Step 6: Final answer
    x = 4,105,798.89

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