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Finding the Third Proportional to 1,589,461 and 3,473,973

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Solution

The third proportional to 1,589,461 and 3,473,973 is: 7,592,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,461 : 3,473,973 = 3,473,973 : x
  2. Step 2: Convert to fraction form
    1,589,461/3,473,973 = 3,473,973/x
  3. Step 3: Cross multiply
    1,589,461x = 3,473,973 × 3,473,973
  4. Step 4: Simplify right side
    1,589,461x = 12,068,488,404,729
  5. Step 5: Solve for x
    x = 12,068,488,404,729/1,589,461
  6. Step 6: Final answer
    x = 7,592,818.20

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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.