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Finding the Third Proportional to 486,565 and 1,045,053

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Solution

The third proportional to 486,565 and 1,045,053 is: 2,244,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,565 : 1,045,053 = 1,045,053 : x
  2. Step 2: Convert to fraction form
    486,565/1,045,053 = 1,045,053/x
  3. Step 3: Cross multiply
    486,565x = 1,045,053 × 1,045,053
  4. Step 4: Simplify right side
    486,565x = 1,092,135,772,809
  5. Step 5: Solve for x
    x = 1,092,135,772,809/486,565
  6. Step 6: Final answer
    x = 2,244,583.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.