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Finding the Third Proportional to 657,702 and 986,641

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Solution

The third proportional to 657,702 and 986,641 is: 1,480,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,702 : 986,641 = 986,641 : x
  2. Step 2: Convert to fraction form
    657,702/986,641 = 986,641/x
  3. Step 3: Cross multiply
    657,702x = 986,641 × 986,641
  4. Step 4: Simplify right side
    657,702x = 973,460,462,881
  5. Step 5: Solve for x
    x = 973,460,462,881/657,702
  6. Step 6: Final answer
    x = 1,480,093.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.