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Finding the Third Proportional to 1,214,216 and 1,781,952

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Solution

The third proportional to 1,214,216 and 1,781,952 is: 2,615,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,216 : 1,781,952 = 1,781,952 : x
  2. Step 2: Convert to fraction form
    1,214,216/1,781,952 = 1,781,952/x
  3. Step 3: Cross multiply
    1,214,216x = 1,781,952 × 1,781,952
  4. Step 4: Simplify right side
    1,214,216x = 3,175,352,930,304
  5. Step 5: Solve for x
    x = 3,175,352,930,304/1,214,216
  6. Step 6: Final answer
    x = 2,615,146.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.