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Finding the Third Proportional to 664,627 and 974,733

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Solution

The third proportional to 664,627 and 974,733 is: 1,429,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,627 : 974,733 = 974,733 : x
  2. Step 2: Convert to fraction form
    664,627/974,733 = 974,733/x
  3. Step 3: Cross multiply
    664,627x = 974,733 × 974,733
  4. Step 4: Simplify right side
    664,627x = 950,104,421,289
  5. Step 5: Solve for x
    x = 950,104,421,289/664,627
  6. Step 6: Final answer
    x = 1,429,530.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.