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Finding the Third Proportional to 4,540,970 and 6,830,583

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Solution

The third proportional to 4,540,970 and 6,830,583 is: 10,274,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540,970 : 6,830,583 = 6,830,583 : x
  2. Step 2: Convert to fraction form
    4,540,970/6,830,583 = 6,830,583/x
  3. Step 3: Cross multiply
    4,540,970x = 6,830,583 × 6,830,583
  4. Step 4: Simplify right side
    4,540,970x = 46,656,864,119,889
  5. Step 5: Solve for x
    x = 46,656,864,119,889/4,540,970
  6. Step 6: Final answer
    x = 10,274,647.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.