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Finding the Third Proportional to 846,480 and 1,809,438

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Solution

The third proportional to 846,480 and 1,809,438 is: 3,867,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,480 : 1,809,438 = 1,809,438 : x
  2. Step 2: Convert to fraction form
    846,480/1,809,438 = 1,809,438/x
  3. Step 3: Cross multiply
    846,480x = 1,809,438 × 1,809,438
  4. Step 4: Simplify right side
    846,480x = 3,274,065,875,844
  5. Step 5: Solve for x
    x = 3,274,065,875,844/846,480
  6. Step 6: Final answer
    x = 3,867,859.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.