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Finding the Third Proportional to 709,164 and 1,517,985

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Solution

The third proportional to 709,164 and 1,517,985 is: 3,249,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,164 : 1,517,985 = 1,517,985 : x
  2. Step 2: Convert to fraction form
    709,164/1,517,985 = 1,517,985/x
  3. Step 3: Cross multiply
    709,164x = 1,517,985 × 1,517,985
  4. Step 4: Simplify right side
    709,164x = 2,304,278,460,225
  5. Step 5: Solve for x
    x = 2,304,278,460,225/709,164
  6. Step 6: Final answer
    x = 3,249,288.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.