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Finding the Third Proportional to 527,793 and 1,130,316

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Solution

The third proportional to 527,793 and 1,130,316 is: 2,420,672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,793 : 1,130,316 = 1,130,316 : x
  2. Step 2: Convert to fraction form
    527,793/1,130,316 = 1,130,316/x
  3. Step 3: Cross multiply
    527,793x = 1,130,316 × 1,130,316
  4. Step 4: Simplify right side
    527,793x = 1,277,614,259,856
  5. Step 5: Solve for x
    x = 1,277,614,259,856/527,793
  6. Step 6: Final answer
    x = 2,420,672.99

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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.