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Finding the Third Proportional to 592,636 and 941,445

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Solution

The third proportional to 592,636 and 941,445 is: 1,495,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,636 : 941,445 = 941,445 : x
  2. Step 2: Convert to fraction form
    592,636/941,445 = 941,445/x
  3. Step 3: Cross multiply
    592,636x = 941,445 × 941,445
  4. Step 4: Simplify right side
    592,636x = 886,318,688,025
  5. Step 5: Solve for x
    x = 886,318,688,025/592,636
  6. Step 6: Final answer
    x = 1,495,553.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.