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Finding the Third Proportional to 614,312 and 1,277,670

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Solution

The third proportional to 614,312 and 1,277,670 is: 2,657,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,312 : 1,277,670 = 1,277,670 : x
  2. Step 2: Convert to fraction form
    614,312/1,277,670 = 1,277,670/x
  3. Step 3: Cross multiply
    614,312x = 1,277,670 × 1,277,670
  4. Step 4: Simplify right side
    614,312x = 1,632,440,628,900
  5. Step 5: Solve for x
    x = 1,632,440,628,900/614,312
  6. Step 6: Final answer
    x = 2,657,347.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.