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Finding the Third Proportional to 2,946,730 and 4,159,293

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Solution

The third proportional to 2,946,730 and 4,159,293 is: 5,870,818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,730 : 4,159,293 = 4,159,293 : x
  2. Step 2: Convert to fraction form
    2,946,730/4,159,293 = 4,159,293/x
  3. Step 3: Cross multiply
    2,946,730x = 4,159,293 × 4,159,293
  4. Step 4: Simplify right side
    2,946,730x = 17,299,718,259,849
  5. Step 5: Solve for x
    x = 17,299,718,259,849/2,946,730
  6. Step 6: Final answer
    x = 5,870,818.93

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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.