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Finding the Third Proportional to 1,527,207 and 3,160,107

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Solution

The third proportional to 1,527,207 and 3,160,107 is: 6,538,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,207 : 3,160,107 = 3,160,107 : x
  2. Step 2: Convert to fraction form
    1,527,207/3,160,107 = 3,160,107/x
  3. Step 3: Cross multiply
    1,527,207x = 3,160,107 × 3,160,107
  4. Step 4: Simplify right side
    1,527,207x = 9,986,276,251,449
  5. Step 5: Solve for x
    x = 9,986,276,251,449/1,527,207
  6. Step 6: Final answer
    x = 6,538,914.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.