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Finding the Third Proportional to 2,912,331 and 4,558,633

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Solution

The third proportional to 2,912,331 and 4,558,633 is: 7,135,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,331 : 4,558,633 = 4,558,633 : x
  2. Step 2: Convert to fraction form
    2,912,331/4,558,633 = 4,558,633/x
  3. Step 3: Cross multiply
    2,912,331x = 4,558,633 × 4,558,633
  4. Step 4: Simplify right side
    2,912,331x = 20,781,134,828,689
  5. Step 5: Solve for x
    x = 20,781,134,828,689/2,912,331
  6. Step 6: Final answer
    x = 7,135,567.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.