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Finding the Third Proportional to 611,482 and 926,457

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Solution

The third proportional to 611,482 and 926,457 is: 1,403,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,482 : 926,457 = 926,457 : x
  2. Step 2: Convert to fraction form
    611,482/926,457 = 926,457/x
  3. Step 3: Cross multiply
    611,482x = 926,457 × 926,457
  4. Step 4: Simplify right side
    611,482x = 858,322,572,849
  5. Step 5: Solve for x
    x = 858,322,572,849/611,482
  6. Step 6: Final answer
    x = 1,403,675.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.