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Finding the Third Proportional to 1,735,506 and 3,769,527.38

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Solution

The third proportional to 1,735,506 and 3,769,527.38 is: 8,187,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735,506 : 3,769,527.38 = 3,769,527.38 : x
  2. Step 2: Convert to fraction form
    1,735,506/3,769,527.38 = 3,769,527.38/x
  3. Step 3: Cross multiply
    1,735,506x = 3,769,527.38 × 3,769,527.38
  4. Step 4: Simplify right side
    1,735,506x = 14,209,336,630,874.39
  5. Step 5: Solve for x
    x = 14,209,336,630,874.39/1,735,506
  6. Step 6: Final answer
    x = 8,187,431.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.