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Finding the Third Proportional to 1,588,005 and 2,523,934.69

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Solution

The third proportional to 1,588,005 and 2,523,934.69 is: 4,011,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,005 : 2,523,934.69 = 2,523,934.69 : x
  2. Step 2: Convert to fraction form
    1,588,005/2,523,934.69 = 2,523,934.69/x
  3. Step 3: Cross multiply
    1,588,005x = 2,523,934.69 × 2,523,934.69
  4. Step 4: Simplify right side
    1,588,005x = 6,370,246,306,765.72
  5. Step 5: Solve for x
    x = 6,370,246,306,765.72/1,588,005
  6. Step 6: Final answer
    x = 4,011,477.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.