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Finding the Third Proportional to 655,473 and 1,430,102.25

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Solution

The third proportional to 655,473 and 1,430,102.25 is: 3,120,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,473 : 1,430,102.25 = 1,430,102.25 : x
  2. Step 2: Convert to fraction form
    655,473/1,430,102.25 = 1,430,102.25/x
  3. Step 3: Cross multiply
    655,473x = 1,430,102.25 × 1,430,102.25
  4. Step 4: Simplify right side
    655,473x = 2,045,192,445,455.06
  5. Step 5: Solve for x
    x = 2,045,192,445,455.06/655,473
  6. Step 6: Final answer
    x = 3,120,178.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.