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Finding the Third Proportional to 4,462,098 and 6,703,323

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Solution

The third proportional to 4,462,098 and 6,703,323 is: 10,070,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462,098 : 6,703,323 = 6,703,323 : x
  2. Step 2: Convert to fraction form
    4,462,098/6,703,323 = 6,703,323/x
  3. Step 3: Cross multiply
    4,462,098x = 6,703,323 × 6,703,323
  4. Step 4: Simplify right side
    4,462,098x = 44,934,539,242,329
  5. Step 5: Solve for x
    x = 44,934,539,242,329/4,462,098
  6. Step 6: Final answer
    x = 10,070,271.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.