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Finding the Third Proportional to 3,574,234 and 7,830,770

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Solution

The third proportional to 3,574,234 and 7,830,770 is: 17,156,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574,234 : 7,830,770 = 7,830,770 : x
  2. Step 2: Convert to fraction form
    3,574,234/7,830,770 = 7,830,770/x
  3. Step 3: Cross multiply
    3,574,234x = 7,830,770 × 7,830,770
  4. Step 4: Simplify right side
    3,574,234x = 61,320,958,792,900
  5. Step 5: Solve for x
    x = 61,320,958,792,900/3,574,234
  6. Step 6: Final answer
    x = 17,156,391.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.