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Finding the Third Proportional to 488,905 and 1,059,210

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Solution

The third proportional to 488,905 and 1,059,210 is: 2,294,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,905 : 1,059,210 = 1,059,210 : x
  2. Step 2: Convert to fraction form
    488,905/1,059,210 = 1,059,210/x
  3. Step 3: Cross multiply
    488,905x = 1,059,210 × 1,059,210
  4. Step 4: Simplify right side
    488,905x = 1,121,925,824,100
  5. Step 5: Solve for x
    x = 1,121,925,824,100/488,905
  6. Step 6: Final answer
    x = 2,294,772.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.