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Finding the Third Proportional to 4,176,684 and 6,645,984

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Solution

The third proportional to 4,176,684 and 6,645,984 is: 10,575,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176,684 : 6,645,984 = 6,645,984 : x
  2. Step 2: Convert to fraction form
    4,176,684/6,645,984 = 6,645,984/x
  3. Step 3: Cross multiply
    4,176,684x = 6,645,984 × 6,645,984
  4. Step 4: Simplify right side
    4,176,684x = 44,169,103,328,256
  5. Step 5: Solve for x
    x = 44,169,103,328,256/4,176,684
  6. Step 6: Final answer
    x = 10,575,160.42

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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.