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Finding the Third Proportional to 971,370 and 2,085,462

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Solution

The third proportional to 971,370 and 2,085,462 is: 4,477,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,370 : 2,085,462 = 2,085,462 : x
  2. Step 2: Convert to fraction form
    971,370/2,085,462 = 2,085,462/x
  3. Step 3: Cross multiply
    971,370x = 2,085,462 × 2,085,462
  4. Step 4: Simplify right side
    971,370x = 4,349,151,753,444
  5. Step 5: Solve for x
    x = 4,349,151,753,444/971,370
  6. Step 6: Final answer
    x = 4,477,337.94

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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.