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Finding the Third Proportional to 759,426 and 1,617,012

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Solution

The third proportional to 759,426 and 1,617,012 is: 3,443,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,426 : 1,617,012 = 1,617,012 : x
  2. Step 2: Convert to fraction form
    759,426/1,617,012 = 1,617,012/x
  3. Step 3: Cross multiply
    759,426x = 1,617,012 × 1,617,012
  4. Step 4: Simplify right side
    759,426x = 2,614,727,808,144
  5. Step 5: Solve for x
    x = 2,614,727,808,144/759,426
  6. Step 6: Final answer
    x = 3,443,031.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.