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Finding the Third Proportional to 2,946,844 and 6,441,506

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Solution

The third proportional to 2,946,844 and 6,441,506 is: 14,080,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,844 : 6,441,506 = 6,441,506 : x
  2. Step 2: Convert to fraction form
    2,946,844/6,441,506 = 6,441,506/x
  3. Step 3: Cross multiply
    2,946,844x = 6,441,506 × 6,441,506
  4. Step 4: Simplify right side
    2,946,844x = 41,492,999,548,036
  5. Step 5: Solve for x
    x = 41,492,999,548,036/2,946,844
  6. Step 6: Final answer
    x = 14,080,487.31

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Why These Related Problems?

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