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Finding the Third Proportional to 657,643 and 986,556

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Solution

The third proportional to 657,643 and 986,556 is: 1,479,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,643 : 986,556 = 986,556 : x
  2. Step 2: Convert to fraction form
    657,643/986,556 = 986,556/x
  3. Step 3: Cross multiply
    657,643x = 986,556 × 986,556
  4. Step 4: Simplify right side
    657,643x = 973,292,741,136
  5. Step 5: Solve for x
    x = 973,292,741,136/657,643
  6. Step 6: Final answer
    x = 1,479,971.26

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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.