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Finding the Third Proportional to 903,643 and 1,204,723

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Solution

The third proportional to 903,643 and 1,204,723 is: 1,606,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,643 : 1,204,723 = 1,204,723 : x
  2. Step 2: Convert to fraction form
    903,643/1,204,723 = 1,204,723/x
  3. Step 3: Cross multiply
    903,643x = 1,204,723 × 1,204,723
  4. Step 4: Simplify right side
    903,643x = 1,451,357,506,729
  5. Step 5: Solve for x
    x = 1,451,357,506,729/903,643
  6. Step 6: Final answer
    x = 1,606,118.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.