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Finding the Third Proportional to 3,655,174 and 7,920,520

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Solution

The third proportional to 3,655,174 and 7,920,520 is: 17,163,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655,174 : 7,920,520 = 7,920,520 : x
  2. Step 2: Convert to fraction form
    3,655,174/7,920,520 = 7,920,520/x
  3. Step 3: Cross multiply
    3,655,174x = 7,920,520 × 7,920,520
  4. Step 4: Simplify right side
    3,655,174x = 62,734,637,070,400
  5. Step 5: Solve for x
    x = 62,734,637,070,400/3,655,174
  6. Step 6: Final answer
    x = 17,163,242.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.