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Finding the Third Proportional to 461,190 and 993,528

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Solution

The third proportional to 461,190 and 993,528 is: 2,140,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,190 : 993,528 = 993,528 : x
  2. Step 2: Convert to fraction form
    461,190/993,528 = 993,528/x
  3. Step 3: Cross multiply
    461,190x = 993,528 × 993,528
  4. Step 4: Simplify right side
    461,190x = 987,097,886,784
  5. Step 5: Solve for x
    x = 987,097,886,784/461,190
  6. Step 6: Final answer
    x = 2,140,328.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.