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Finding the Third Proportional to 3,430,731 and 5,031,508.50

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Solution

The third proportional to 3,430,731 and 5,031,508.50 is: 7,379,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,731 : 5,031,508.50 = 5,031,508.50 : x
  2. Step 2: Convert to fraction form
    3,430,731/5,031,508.50 = 5,031,508.50/x
  3. Step 3: Cross multiply
    3,430,731x = 5,031,508.50 × 5,031,508.50
  4. Step 4: Simplify right side
    3,430,731x = 25,316,077,785,572.25
  5. Step 5: Solve for x
    x = 25,316,077,785,572.25/3,430,731
  6. Step 6: Final answer
    x = 7,379,208.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.