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Finding the Third Proportional to 1,377,336 and 2,975,984

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Solution

The third proportional to 1,377,336 and 2,975,984 is: 6,430,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,336 : 2,975,984 = 2,975,984 : x
  2. Step 2: Convert to fraction form
    1,377,336/2,975,984 = 2,975,984/x
  3. Step 3: Cross multiply
    1,377,336x = 2,975,984 × 2,975,984
  4. Step 4: Simplify right side
    1,377,336x = 8,856,480,768,256
  5. Step 5: Solve for x
    x = 8,856,480,768,256/1,377,336
  6. Step 6: Final answer
    x = 6,430,152.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.