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Finding the Third Proportional to 472,696.50 and 1,011,840

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Solution

The third proportional to 472,696.50 and 1,011,840 is: 2,165,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,696.50 : 1,011,840 = 1,011,840 : x
  2. Step 2: Convert to fraction form
    472,696.50/1,011,840 = 1,011,840/x
  3. Step 3: Cross multiply
    472,696.50x = 1,011,840 × 1,011,840
  4. Step 4: Simplify right side
    472,696.50x = 1,023,820,185,600
  5. Step 5: Solve for x
    x = 1,023,820,185,600/472,696.50
  6. Step 6: Final answer
    x = 2,165,914.46

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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.