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Finding the Third Proportional to 920,486 and 1,465,293

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Solution

The third proportional to 920,486 and 1,465,293 is: 2,332,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,486 : 1,465,293 = 1,465,293 : x
  2. Step 2: Convert to fraction form
    920,486/1,465,293 = 1,465,293/x
  3. Step 3: Cross multiply
    920,486x = 1,465,293 × 1,465,293
  4. Step 4: Simplify right side
    920,486x = 2,147,083,575,849
  5. Step 5: Solve for x
    x = 2,147,083,575,849/920,486
  6. Step 6: Final answer
    x = 2,332,554.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.