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Finding the Third Proportional to 646,276 and 986,910

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Solution

The third proportional to 646,276 and 986,910 is: 1,507,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,276 : 986,910 = 986,910 : x
  2. Step 2: Convert to fraction form
    646,276/986,910 = 986,910/x
  3. Step 3: Cross multiply
    646,276x = 986,910 × 986,910
  4. Step 4: Simplify right side
    646,276x = 973,991,348,100
  5. Step 5: Solve for x
    x = 973,991,348,100/646,276
  6. Step 6: Final answer
    x = 1,507,082.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.