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Finding the Third Proportional to 1,226,031.50 and 1,683,006

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Solution

The third proportional to 1,226,031.50 and 1,683,006 is: 2,310,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,031.50 : 1,683,006 = 1,683,006 : x
  2. Step 2: Convert to fraction form
    1,226,031.50/1,683,006 = 1,683,006/x
  3. Step 3: Cross multiply
    1,226,031.50x = 1,683,006 × 1,683,006
  4. Step 4: Simplify right side
    1,226,031.50x = 2,832,509,196,036
  5. Step 5: Solve for x
    x = 2,832,509,196,036/1,226,031.50
  6. Step 6: Final answer
    x = 2,310,307.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.