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Finding the Third Proportional to 475,154 and 1,033,960

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Solution

The third proportional to 475,154 and 1,033,960 is: 2,249,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,154 : 1,033,960 = 1,033,960 : x
  2. Step 2: Convert to fraction form
    475,154/1,033,960 = 1,033,960/x
  3. Step 3: Cross multiply
    475,154x = 1,033,960 × 1,033,960
  4. Step 4: Simplify right side
    475,154x = 1,069,073,281,600
  5. Step 5: Solve for x
    x = 1,069,073,281,600/475,154
  6. Step 6: Final answer
    x = 2,249,951.14

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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.