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Finding the Third Proportional to 486,384 and 1,045,440

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Solution

The third proportional to 486,384 and 1,045,440 is: 2,247,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,384 : 1,045,440 = 1,045,440 : x
  2. Step 2: Convert to fraction form
    486,384/1,045,440 = 1,045,440/x
  3. Step 3: Cross multiply
    486,384x = 1,045,440 × 1,045,440
  4. Step 4: Simplify right side
    486,384x = 1,092,944,793,600
  5. Step 5: Solve for x
    x = 1,092,944,793,600/486,384
  6. Step 6: Final answer
    x = 2,247,082.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.