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Finding the Third Proportional to 4,310,770 and 6,762,294

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Solution

The third proportional to 4,310,770 and 6,762,294 is: 10,607,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310,770 : 6,762,294 = 6,762,294 : x
  2. Step 2: Convert to fraction form
    4,310,770/6,762,294 = 6,762,294/x
  3. Step 3: Cross multiply
    4,310,770x = 6,762,294 × 6,762,294
  4. Step 4: Simplify right side
    4,310,770x = 45,728,620,142,436
  5. Step 5: Solve for x
    x = 45,728,620,142,436/4,310,770
  6. Step 6: Final answer
    x = 10,607,993.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.