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Finding the Third Proportional to 4,146,573 and 6,490,575

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Solution

The third proportional to 4,146,573 and 6,490,575 is: 10,159,609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146,573 : 6,490,575 = 6,490,575 : x
  2. Step 2: Convert to fraction form
    4,146,573/6,490,575 = 6,490,575/x
  3. Step 3: Cross multiply
    4,146,573x = 6,490,575 × 6,490,575
  4. Step 4: Simplify right side
    4,146,573x = 42,127,563,830,625
  5. Step 5: Solve for x
    x = 42,127,563,830,625/4,146,573
  6. Step 6: Final answer
    x = 10,159,609.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.