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Finding the Third Proportional to 460,338 and 1,004,316

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Solution

The third proportional to 460,338 and 1,004,316 is: 2,191,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,338 : 1,004,316 = 1,004,316 : x
  2. Step 2: Convert to fraction form
    460,338/1,004,316 = 1,004,316/x
  3. Step 3: Cross multiply
    460,338x = 1,004,316 × 1,004,316
  4. Step 4: Simplify right side
    460,338x = 1,008,650,627,856
  5. Step 5: Solve for x
    x = 1,008,650,627,856/460,338
  6. Step 6: Final answer
    x = 2,191,108.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.