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Finding the Third Proportional to 387,875 and 822,702

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Solution

The third proportional to 387,875 and 822,702 is: 1,744,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,875 : 822,702 = 822,702 : x
  2. Step 2: Convert to fraction form
    387,875/822,702 = 822,702/x
  3. Step 3: Cross multiply
    387,875x = 822,702 × 822,702
  4. Step 4: Simplify right side
    387,875x = 676,838,580,804
  5. Step 5: Solve for x
    x = 676,838,580,804/387,875
  6. Step 6: Final answer
    x = 1,744,991.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.