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Finding the Third Proportional to 637,614 and 976,914

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Solution

The third proportional to 637,614 and 976,914 is: 1,496,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,614 : 976,914 = 976,914 : x
  2. Step 2: Convert to fraction form
    637,614/976,914 = 976,914/x
  3. Step 3: Cross multiply
    637,614x = 976,914 × 976,914
  4. Step 4: Simplify right side
    637,614x = 954,360,963,396
  5. Step 5: Solve for x
    x = 954,360,963,396/637,614
  6. Step 6: Final answer
    x = 1,496,769.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.