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Finding the Third Proportional to 655,964 and 1,415,284

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Solution

The third proportional to 655,964 and 1,415,284 is: 3,053,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,964 : 1,415,284 = 1,415,284 : x
  2. Step 2: Convert to fraction form
    655,964/1,415,284 = 1,415,284/x
  3. Step 3: Cross multiply
    655,964x = 1,415,284 × 1,415,284
  4. Step 4: Simplify right side
    655,964x = 2,003,028,800,656
  5. Step 5: Solve for x
    x = 2,003,028,800,656/655,964
  6. Step 6: Final answer
    x = 3,053,565.14

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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.