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Finding the Third Proportional to 4,180,317 and 6,460,706

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Solution

The third proportional to 4,180,317 and 6,460,706 is: 9,985,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180,317 : 6,460,706 = 6,460,706 : x
  2. Step 2: Convert to fraction form
    4,180,317/6,460,706 = 6,460,706/x
  3. Step 3: Cross multiply
    4,180,317x = 6,460,706 × 6,460,706
  4. Step 4: Simplify right side
    4,180,317x = 41,740,722,018,436
  5. Step 5: Solve for x
    x = 41,740,722,018,436/4,180,317
  6. Step 6: Final answer
    x = 9,985,061.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.