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Finding the Third Proportional to 897,418 and 1,896,140

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Solution

The third proportional to 897,418 and 1,896,140 is: 4,006,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,418 : 1,896,140 = 1,896,140 : x
  2. Step 2: Convert to fraction form
    897,418/1,896,140 = 1,896,140/x
  3. Step 3: Cross multiply
    897,418x = 1,896,140 × 1,896,140
  4. Step 4: Simplify right side
    897,418x = 3,595,346,899,600
  5. Step 5: Solve for x
    x = 3,595,346,899,600/897,418
  6. Step 6: Final answer
    x = 4,006,323.59

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.