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Finding the Third Proportional to 900,648 and 1,369,532.25

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Solution

The third proportional to 900,648 and 1,369,532.25 is: 2,082,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,648 : 1,369,532.25 = 1,369,532.25 : x
  2. Step 2: Convert to fraction form
    900,648/1,369,532.25 = 1,369,532.25/x
  3. Step 3: Cross multiply
    900,648x = 1,369,532.25 × 1,369,532.25
  4. Step 4: Simplify right side
    900,648x = 1,875,618,583,790.06
  5. Step 5: Solve for x
    x = 1,875,618,583,790.06/900,648
  6. Step 6: Final answer
    x = 2,082,521.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.