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Finding the Third Proportional to 602,244 and 886,746

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Solution

The third proportional to 602,244 and 886,746 is: 1,305,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,244 : 886,746 = 886,746 : x
  2. Step 2: Convert to fraction form
    602,244/886,746 = 886,746/x
  3. Step 3: Cross multiply
    602,244x = 886,746 × 886,746
  4. Step 4: Simplify right side
    602,244x = 786,318,468,516
  5. Step 5: Solve for x
    x = 786,318,468,516/602,244
  6. Step 6: Final answer
    x = 1,305,647.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.