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Finding the Third Proportional to 846,710 and 1,207,005

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Solution

The third proportional to 846,710 and 1,207,005 is: 1,720,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,710 : 1,207,005 = 1,207,005 : x
  2. Step 2: Convert to fraction form
    846,710/1,207,005 = 1,207,005/x
  3. Step 3: Cross multiply
    846,710x = 1,207,005 × 1,207,005
  4. Step 4: Simplify right side
    846,710x = 1,456,861,070,025
  5. Step 5: Solve for x
    x = 1,456,861,070,025/846,710
  6. Step 6: Final answer
    x = 1,720,613.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.