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Finding the Third Proportional to 424,445.06 and 909,624.94

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Solution

The third proportional to 424,445.06 and 909,624.94 is: 1,949,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,445.06 : 909,624.94 = 909,624.94 : x
  2. Step 2: Convert to fraction form
    424,445.06/909,624.94 = 909,624.94/x
  3. Step 3: Cross multiply
    424,445.06x = 909,624.94 × 909,624.94
  4. Step 4: Simplify right side
    424,445.06x = 827,417,526,921.88
  5. Step 5: Solve for x
    x = 827,417,526,921.88/424,445.06
  6. Step 6: Final answer
    x = 1,949,410.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.