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Finding the Third Proportional to 802,010 and 1,724,548

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Solution

The third proportional to 802,010 and 1,724,548 is: 3,708,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,010 : 1,724,548 = 1,724,548 : x
  2. Step 2: Convert to fraction form
    802,010/1,724,548 = 1,724,548/x
  3. Step 3: Cross multiply
    802,010x = 1,724,548 × 1,724,548
  4. Step 4: Simplify right side
    802,010x = 2,974,065,804,304
  5. Step 5: Solve for x
    x = 2,974,065,804,304/802,010
  6. Step 6: Final answer
    x = 3,708,265.24

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Why These Related Problems?

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