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Finding the Third Proportional to 726,304 and 1,063,086

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Solution

The third proportional to 726,304 and 1,063,086 is: 1,556,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,304 : 1,063,086 = 1,063,086 : x
  2. Step 2: Convert to fraction form
    726,304/1,063,086 = 1,063,086/x
  3. Step 3: Cross multiply
    726,304x = 1,063,086 × 1,063,086
  4. Step 4: Simplify right side
    726,304x = 1,130,151,843,396
  5. Step 5: Solve for x
    x = 1,130,151,843,396/726,304
  6. Step 6: Final answer
    x = 1,556,031.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.