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Finding the Third Proportional to 718,396 and 1,046,003

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Solution

The third proportional to 718,396 and 1,046,003 is: 1,523,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,396 : 1,046,003 = 1,046,003 : x
  2. Step 2: Convert to fraction form
    718,396/1,046,003 = 1,046,003/x
  3. Step 3: Cross multiply
    718,396x = 1,046,003 × 1,046,003
  4. Step 4: Simplify right side
    718,396x = 1,094,122,276,009
  5. Step 5: Solve for x
    x = 1,094,122,276,009/718,396
  6. Step 6: Final answer
    x = 1,523,007.19

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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.