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Finding the Third Proportional to 586,494 and 1,277,964

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Solution

The third proportional to 586,494 and 1,277,964 is: 2,784,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,494 : 1,277,964 = 1,277,964 : x
  2. Step 2: Convert to fraction form
    586,494/1,277,964 = 1,277,964/x
  3. Step 3: Cross multiply
    586,494x = 1,277,964 × 1,277,964
  4. Step 4: Simplify right side
    586,494x = 1,633,191,985,296
  5. Step 5: Solve for x
    x = 1,633,191,985,296/586,494
  6. Step 6: Final answer
    x = 2,784,669.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.