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Finding the Third Proportional to 897,821.50 and 1,938,080

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Solution

The third proportional to 897,821.50 and 1,938,080 is: 4,183,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,821.50 : 1,938,080 = 1,938,080 : x
  2. Step 2: Convert to fraction form
    897,821.50/1,938,080 = 1,938,080/x
  3. Step 3: Cross multiply
    897,821.50x = 1,938,080 × 1,938,080
  4. Step 4: Simplify right side
    897,821.50x = 3,756,154,086,400
  5. Step 5: Solve for x
    x = 3,756,154,086,400/897,821.50
  6. Step 6: Final answer
    x = 4,183,631.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.