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Finding the Third Proportional to 1,413,612 and 2,946,456

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Solution

The third proportional to 1,413,612 and 2,946,456 is: 6,141,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,612 : 2,946,456 = 2,946,456 : x
  2. Step 2: Convert to fraction form
    1,413,612/2,946,456 = 2,946,456/x
  3. Step 3: Cross multiply
    1,413,612x = 2,946,456 × 2,946,456
  4. Step 4: Simplify right side
    1,413,612x = 8,681,602,959,936
  5. Step 5: Solve for x
    x = 8,681,602,959,936/1,413,612
  6. Step 6: Final answer
    x = 6,141,432.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.