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Finding the Third Proportional to 437,031 and 950,973

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Solution

The third proportional to 437,031 and 950,973 is: 2,069,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,031 : 950,973 = 950,973 : x
  2. Step 2: Convert to fraction form
    437,031/950,973 = 950,973/x
  3. Step 3: Cross multiply
    437,031x = 950,973 × 950,973
  4. Step 4: Simplify right side
    437,031x = 904,349,646,729
  5. Step 5: Solve for x
    x = 904,349,646,729/437,031
  6. Step 6: Final answer
    x = 2,069,303.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.