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Finding the Third Proportional to 572,186 and 840,762

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Solution

The third proportional to 572,186 and 840,762 is: 1,235,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,186 : 840,762 = 840,762 : x
  2. Step 2: Convert to fraction form
    572,186/840,762 = 840,762/x
  3. Step 3: Cross multiply
    572,186x = 840,762 × 840,762
  4. Step 4: Simplify right side
    572,186x = 706,880,740,644
  5. Step 5: Solve for x
    x = 706,880,740,644/572,186
  6. Step 6: Final answer
    x = 1,235,403.77

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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.