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Finding the Third Proportional to 900,566 and 1,369,415.50

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Solution

The third proportional to 900,566 and 1,369,415.50 is: 2,082,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,566 : 1,369,415.50 = 1,369,415.50 : x
  2. Step 2: Convert to fraction form
    900,566/1,369,415.50 = 1,369,415.50/x
  3. Step 3: Cross multiply
    900,566x = 1,369,415.50 × 1,369,415.50
  4. Step 4: Simplify right side
    900,566x = 1,875,298,811,640.25
  5. Step 5: Solve for x
    x = 1,875,298,811,640.25/900,566
  6. Step 6: Final answer
    x = 2,082,355.78

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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.