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Finding the Third Proportional to 448,927.31 and 969,068.81

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Solution

The third proportional to 448,927.31 and 969,068.81 is: 2,091,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,927.31 : 969,068.81 = 969,068.81 : x
  2. Step 2: Convert to fraction form
    448,927.31/969,068.81 = 969,068.81/x
  3. Step 3: Cross multiply
    448,927.31x = 969,068.81 × 969,068.81
  4. Step 4: Simplify right side
    448,927.31x = 939,094,363,360.16
  5. Step 5: Solve for x
    x = 939,094,363,360.16/448,927.31
  6. Step 6: Final answer
    x = 2,091,862.84

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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.