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Finding the Third Proportional to 573,264 and 1,214,865

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Solution

The third proportional to 573,264 and 1,214,865 is: 2,574,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,264 : 1,214,865 = 1,214,865 : x
  2. Step 2: Convert to fraction form
    573,264/1,214,865 = 1,214,865/x
  3. Step 3: Cross multiply
    573,264x = 1,214,865 × 1,214,865
  4. Step 4: Simplify right side
    573,264x = 1,475,896,968,225
  5. Step 5: Solve for x
    x = 1,475,896,968,225/573,264
  6. Step 6: Final answer
    x = 2,574,550.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.