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Finding the Third Proportional to 708,060 and 1,082,409

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Solution

The third proportional to 708,060 and 1,082,409 is: 1,654,675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,060 : 1,082,409 = 1,082,409 : x
  2. Step 2: Convert to fraction form
    708,060/1,082,409 = 1,082,409/x
  3. Step 3: Cross multiply
    708,060x = 1,082,409 × 1,082,409
  4. Step 4: Simplify right side
    708,060x = 1,171,609,243,281
  5. Step 5: Solve for x
    x = 1,171,609,243,281/708,060
  6. Step 6: Final answer
    x = 1,654,675.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.