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Finding the Third Proportional to 897,826 and 1,970,114

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Solution

The third proportional to 897,826 and 1,970,114 is: 4,323,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,826 : 1,970,114 = 1,970,114 : x
  2. Step 2: Convert to fraction form
    897,826/1,970,114 = 1,970,114/x
  3. Step 3: Cross multiply
    897,826x = 1,970,114 × 1,970,114
  4. Step 4: Simplify right side
    897,826x = 3,881,349,172,996
  5. Step 5: Solve for x
    x = 3,881,349,172,996/897,826
  6. Step 6: Final answer
    x = 4,323,052.77

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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.