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Finding the Third Proportional to 2,134,795.50 and 4,663,575

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Solution

The third proportional to 2,134,795.50 and 4,663,575 is: 10,187,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,795.50 : 4,663,575 = 4,663,575 : x
  2. Step 2: Convert to fraction form
    2,134,795.50/4,663,575 = 4,663,575/x
  3. Step 3: Cross multiply
    2,134,795.50x = 4,663,575 × 4,663,575
  4. Step 4: Simplify right side
    2,134,795.50x = 21,748,931,780,625
  5. Step 5: Solve for x
    x = 21,748,931,780,625/2,134,795.50
  6. Step 6: Final answer
    x = 10,187,829.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.