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Finding the Third Proportional to 414,855 and 896,116.50

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Solution

The third proportional to 414,855 and 896,116.50 is: 1,935,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,855 : 896,116.50 = 896,116.50 : x
  2. Step 2: Convert to fraction form
    414,855/896,116.50 = 896,116.50/x
  3. Step 3: Cross multiply
    414,855x = 896,116.50 × 896,116.50
  4. Step 4: Simplify right side
    414,855x = 803,024,781,572.25
  5. Step 5: Solve for x
    x = 803,024,781,572.25/414,855
  6. Step 6: Final answer
    x = 1,935,675.79

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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.