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Finding the Third Proportional to 570,825 and 1,254,645

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Solution

The third proportional to 570,825 and 1,254,645 is: 2,757,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,825 : 1,254,645 = 1,254,645 : x
  2. Step 2: Convert to fraction form
    570,825/1,254,645 = 1,254,645/x
  3. Step 3: Cross multiply
    570,825x = 1,254,645 × 1,254,645
  4. Step 4: Simplify right side
    570,825x = 1,574,134,076,025
  5. Step 5: Solve for x
    x = 1,574,134,076,025/570,825
  6. Step 6: Final answer
    x = 2,757,647.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.