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Finding the Third Proportional to 886,410 and 1,456,285.50

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Solution

The third proportional to 886,410 and 1,456,285.50 is: 2,392,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,410 : 1,456,285.50 = 1,456,285.50 : x
  2. Step 2: Convert to fraction form
    886,410/1,456,285.50 = 1,456,285.50/x
  3. Step 3: Cross multiply
    886,410x = 1,456,285.50 × 1,456,285.50
  4. Step 4: Simplify right side
    886,410x = 2,120,767,457,510.25
  5. Step 5: Solve for x
    x = 2,120,767,457,510.25/886,410
  6. Step 6: Final answer
    x = 2,392,535.57

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.