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Finding the Third Proportional to 1,030,000.50 and 2,243,031.75

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Solution

The third proportional to 1,030,000.50 and 2,243,031.75 is: 4,884,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,000.50 : 2,243,031.75 = 2,243,031.75 : x
  2. Step 2: Convert to fraction form
    1,030,000.50/2,243,031.75 = 2,243,031.75/x
  3. Step 3: Cross multiply
    1,030,000.50x = 2,243,031.75 × 2,243,031.75
  4. Step 4: Simplify right side
    1,030,000.50x = 5,031,191,431,508.06
  5. Step 5: Solve for x
    x = 5,031,191,431,508.06/1,030,000.50
  6. Step 6: Final answer
    x = 4,884,649.50

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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.