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Finding the Third Proportional to 662,693 and 1,036,686

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Solution

The third proportional to 662,693 and 1,036,686 is: 1,621,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,693 : 1,036,686 = 1,036,686 : x
  2. Step 2: Convert to fraction form
    662,693/1,036,686 = 1,036,686/x
  3. Step 3: Cross multiply
    662,693x = 1,036,686 × 1,036,686
  4. Step 4: Simplify right side
    662,693x = 1,074,717,862,596
  5. Step 5: Solve for x
    x = 1,074,717,862,596/662,693
  6. Step 6: Final answer
    x = 1,621,743.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.