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Finding the Third Proportional to 952,280 and 1,391,964

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Solution

The third proportional to 952,280 and 1,391,964 is: 2,034,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,280 : 1,391,964 = 1,391,964 : x
  2. Step 2: Convert to fraction form
    952,280/1,391,964 = 1,391,964/x
  3. Step 3: Cross multiply
    952,280x = 1,391,964 × 1,391,964
  4. Step 4: Simplify right side
    952,280x = 1,937,563,777,296
  5. Step 5: Solve for x
    x = 1,937,563,777,296/952,280
  6. Step 6: Final answer
    x = 2,034,657.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.