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Finding the Third Proportional to 446,618.81 and 973,541.53

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Solution

The third proportional to 446,618.81 and 973,541.53 is: 2,122,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,618.81 : 973,541.53 = 973,541.53 : x
  2. Step 2: Convert to fraction form
    446,618.81/973,541.53 = 973,541.53/x
  3. Step 3: Cross multiply
    446,618.81x = 973,541.53 × 973,541.53
  4. Step 4: Simplify right side
    446,618.81x = 947,783,113,068.60
  5. Step 5: Solve for x
    x = 947,783,113,068.60/446,618.81
  6. Step 6: Final answer
    x = 2,122,129.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.