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Finding the Third Proportional to 527,155 and 1,130,583

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Solution

The third proportional to 527,155 and 1,130,583 is: 2,424,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,155 : 1,130,583 = 1,130,583 : x
  2. Step 2: Convert to fraction form
    527,155/1,130,583 = 1,130,583/x
  3. Step 3: Cross multiply
    527,155x = 1,130,583 × 1,130,583
  4. Step 4: Simplify right side
    527,155x = 1,278,217,919,889
  5. Step 5: Solve for x
    x = 1,278,217,919,889/527,155
  6. Step 6: Final answer
    x = 2,424,747.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.