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Finding the Third Proportional to 539,793 and 1,154,316

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Solution

The third proportional to 539,793 and 1,154,316 is: 2,468,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,793 : 1,154,316 = 1,154,316 : x
  2. Step 2: Convert to fraction form
    539,793/1,154,316 = 1,154,316/x
  3. Step 3: Cross multiply
    539,793x = 1,154,316 × 1,154,316
  4. Step 4: Simplify right side
    539,793x = 1,332,445,427,856
  5. Step 5: Solve for x
    x = 1,332,445,427,856/539,793
  6. Step 6: Final answer
    x = 2,468,437.77

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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.