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Finding the Third Proportional to 761,827.50 and 1,624,905

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Solution

The third proportional to 761,827.50 and 1,624,905 is: 3,465,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,827.50 : 1,624,905 = 1,624,905 : x
  2. Step 2: Convert to fraction form
    761,827.50/1,624,905 = 1,624,905/x
  3. Step 3: Cross multiply
    761,827.50x = 1,624,905 × 1,624,905
  4. Step 4: Simplify right side
    761,827.50x = 2,640,316,259,025
  5. Step 5: Solve for x
    x = 2,640,316,259,025/761,827.50
  6. Step 6: Final answer
    x = 3,465,766.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.