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Finding the Third Proportional to 453,670 and 978,210

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Solution

The third proportional to 453,670 and 978,210 is: 2,109,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,670 : 978,210 = 978,210 : x
  2. Step 2: Convert to fraction form
    453,670/978,210 = 978,210/x
  3. Step 3: Cross multiply
    453,670x = 978,210 × 978,210
  4. Step 4: Simplify right side
    453,670x = 956,894,804,100
  5. Step 5: Solve for x
    x = 956,894,804,100/453,670
  6. Step 6: Final answer
    x = 2,109,230.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.