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Finding the Third Proportional to 2,946,740 and 4,159,308

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Solution

The third proportional to 2,946,740 and 4,159,308 is: 5,870,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,740 : 4,159,308 = 4,159,308 : x
  2. Step 2: Convert to fraction form
    2,946,740/4,159,308 = 4,159,308/x
  3. Step 3: Cross multiply
    2,946,740x = 4,159,308 × 4,159,308
  4. Step 4: Simplify right side
    2,946,740x = 17,299,843,038,864
  5. Step 5: Solve for x
    x = 17,299,843,038,864/2,946,740
  6. Step 6: Final answer
    x = 5,870,841.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.