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Finding the Third Proportional to 586,501 and 1,277,973

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Solution

The third proportional to 586,501 and 1,277,973 is: 2,784,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,501 : 1,277,973 = 1,277,973 : x
  2. Step 2: Convert to fraction form
    586,501/1,277,973 = 1,277,973/x
  3. Step 3: Cross multiply
    586,501x = 1,277,973 × 1,277,973
  4. Step 4: Simplify right side
    586,501x = 1,633,214,988,729
  5. Step 5: Solve for x
    x = 1,633,214,988,729/586,501
  6. Step 6: Final answer
    x = 2,784,675.54

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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.