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Finding the Third Proportional to 469,344.50 and 1,009,448

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Solution

The third proportional to 469,344.50 and 1,009,448 is: 2,171,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,344.50 : 1,009,448 = 1,009,448 : x
  2. Step 2: Convert to fraction form
    469,344.50/1,009,448 = 1,009,448/x
  3. Step 3: Cross multiply
    469,344.50x = 1,009,448 × 1,009,448
  4. Step 4: Simplify right side
    469,344.50x = 1,018,985,264,704
  5. Step 5: Solve for x
    x = 1,018,985,264,704/469,344.50
  6. Step 6: Final answer
    x = 2,171,081.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.