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Finding the Third Proportional to 900,288 and 1,425,600

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Solution

The third proportional to 900,288 and 1,425,600 is: 2,257,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,288 : 1,425,600 = 1,425,600 : x
  2. Step 2: Convert to fraction form
    900,288/1,425,600 = 1,425,600/x
  3. Step 3: Cross multiply
    900,288x = 1,425,600 × 1,425,600
  4. Step 4: Simplify right side
    900,288x = 2,032,335,360,000
  5. Step 5: Solve for x
    x = 2,032,335,360,000/900,288
  6. Step 6: Final answer
    x = 2,257,428.02

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.