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Finding the Third Proportional to 475,140 and 1,008,582

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Solution

The third proportional to 475,140 and 1,008,582 is: 2,140,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,140 : 1,008,582 = 1,008,582 : x
  2. Step 2: Convert to fraction form
    475,140/1,008,582 = 1,008,582/x
  3. Step 3: Cross multiply
    475,140x = 1,008,582 × 1,008,582
  4. Step 4: Simplify right side
    475,140x = 1,017,237,650,724
  5. Step 5: Solve for x
    x = 1,017,237,650,724/475,140
  6. Step 6: Final answer
    x = 2,140,921.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.