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Finding the Third Proportional to 710,016 and 1,528,288

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Solution

The third proportional to 710,016 and 1,528,288 is: 3,289,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,016 : 1,528,288 = 1,528,288 : x
  2. Step 2: Convert to fraction form
    710,016/1,528,288 = 1,528,288/x
  3. Step 3: Cross multiply
    710,016x = 1,528,288 × 1,528,288
  4. Step 4: Simplify right side
    710,016x = 2,335,664,210,944
  5. Step 5: Solve for x
    x = 2,335,664,210,944/710,016
  6. Step 6: Final answer
    x = 3,289,593.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.