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Finding the Third Proportional to 893,088 and 1,249,216

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Solution

The third proportional to 893,088 and 1,249,216 is: 1,747,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,088 : 1,249,216 = 1,249,216 : x
  2. Step 2: Convert to fraction form
    893,088/1,249,216 = 1,249,216/x
  3. Step 3: Cross multiply
    893,088x = 1,249,216 × 1,249,216
  4. Step 4: Simplify right side
    893,088x = 1,560,540,614,656
  5. Step 5: Solve for x
    x = 1,560,540,614,656/893,088
  6. Step 6: Final answer
    x = 1,747,353.69

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.