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Finding the Third Proportional to 492,759 and 1,064,164

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Solution

The third proportional to 492,759 and 1,064,164 is: 2,298,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,759 : 1,064,164 = 1,064,164 : x
  2. Step 2: Convert to fraction form
    492,759/1,064,164 = 1,064,164/x
  3. Step 3: Cross multiply
    492,759x = 1,064,164 × 1,064,164
  4. Step 4: Simplify right side
    492,759x = 1,132,445,018,896
  5. Step 5: Solve for x
    x = 1,132,445,018,896/492,759
  6. Step 6: Final answer
    x = 2,298,172.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.