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Finding the Third Proportional to 4,098,142 and 6,584,615

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Solution

The third proportional to 4,098,142 and 6,584,615 is: 10,579,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098,142 : 6,584,615 = 6,584,615 : x
  2. Step 2: Convert to fraction form
    4,098,142/6,584,615 = 6,584,615/x
  3. Step 3: Cross multiply
    4,098,142x = 6,584,615 × 6,584,615
  4. Step 4: Simplify right side
    4,098,142x = 43,357,154,698,225
  5. Step 5: Solve for x
    x = 43,357,154,698,225/4,098,142
  6. Step 6: Final answer
    x = 10,579,710.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.