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Finding the Third Proportional to 864,468 and 1,897,087

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Solution

The third proportional to 864,468 and 1,897,087 is: 4,163,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,468 : 1,897,087 = 1,897,087 : x
  2. Step 2: Convert to fraction form
    864,468/1,897,087 = 1,897,087/x
  3. Step 3: Cross multiply
    864,468x = 1,897,087 × 1,897,087
  4. Step 4: Simplify right side
    864,468x = 3,598,939,085,569
  5. Step 5: Solve for x
    x = 3,598,939,085,569/864,468
  6. Step 6: Final answer
    x = 4,163,183.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.