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Finding the Third Proportional to 485,370 and 1,064,052

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Solution

The third proportional to 485,370 and 1,064,052 is: 2,332,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,370 : 1,064,052 = 1,064,052 : x
  2. Step 2: Convert to fraction form
    485,370/1,064,052 = 1,064,052/x
  3. Step 3: Cross multiply
    485,370x = 1,064,052 × 1,064,052
  4. Step 4: Simplify right side
    485,370x = 1,132,206,658,704
  5. Step 5: Solve for x
    x = 1,132,206,658,704/485,370
  6. Step 6: Final answer
    x = 2,332,667.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.