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Finding the Third Proportional to 495,271.13 and 1,085,481

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Solution

The third proportional to 495,271.13 and 1,085,481 is: 2,379,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,271.13 : 1,085,481 = 1,085,481 : x
  2. Step 2: Convert to fraction form
    495,271.13/1,085,481 = 1,085,481/x
  3. Step 3: Cross multiply
    495,271.13x = 1,085,481 × 1,085,481
  4. Step 4: Simplify right side
    495,271.13x = 1,178,269,001,361
  5. Step 5: Solve for x
    x = 1,178,269,001,361/495,271.13
  6. Step 6: Final answer
    x = 2,379,038.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.