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Finding the Third Proportional to 1,413,624 and 2,946,480

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Solution

The third proportional to 1,413,624 and 2,946,480 is: 6,141,480.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,624 : 2,946,480 = 2,946,480 : x
  2. Step 2: Convert to fraction form
    1,413,624/2,946,480 = 2,946,480/x
  3. Step 3: Cross multiply
    1,413,624x = 2,946,480 × 2,946,480
  4. Step 4: Simplify right side
    1,413,624x = 8,681,744,390,400
  5. Step 5: Solve for x
    x = 8,681,744,390,400/1,413,624
  6. Step 6: Final answer
    x = 6,141,480.61

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