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Finding the Third Proportional to 684,596 and 1,526,602

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Solution

The third proportional to 684,596 and 1,526,602 is: 3,404,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,596 : 1,526,602 = 1,526,602 : x
  2. Step 2: Convert to fraction form
    684,596/1,526,602 = 1,526,602/x
  3. Step 3: Cross multiply
    684,596x = 1,526,602 × 1,526,602
  4. Step 4: Simplify right side
    684,596x = 2,330,513,666,404
  5. Step 5: Solve for x
    x = 2,330,513,666,404/684,596
  6. Step 6: Final answer
    x = 3,404,217.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.