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Finding the Third Proportional to 678,466.13 and 1,051,233.19

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Solution

The third proportional to 678,466.13 and 1,051,233.19 is: 1,628,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,466.13 : 1,051,233.19 = 1,051,233.19 : x
  2. Step 2: Convert to fraction form
    678,466.13/1,051,233.19 = 1,051,233.19/x
  3. Step 3: Cross multiply
    678,466.13x = 1,051,233.19 × 1,051,233.19
  4. Step 4: Simplify right side
    678,466.13x = 1,105,091,214,501.41
  5. Step 5: Solve for x
    x = 1,105,091,214,501.41/678,466.13
  6. Step 6: Final answer
    x = 1,628,808.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.