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Finding the Third Proportional to 513,564 and 1,145,148

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Solution

The third proportional to 513,564 and 1,145,148 is: 2,553,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,564 : 1,145,148 = 1,145,148 : x
  2. Step 2: Convert to fraction form
    513,564/1,145,148 = 1,145,148/x
  3. Step 3: Cross multiply
    513,564x = 1,145,148 × 1,145,148
  4. Step 4: Simplify right side
    513,564x = 1,311,363,941,904
  5. Step 5: Solve for x
    x = 1,311,363,941,904/513,564
  6. Step 6: Final answer
    x = 2,553,457.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.