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Finding the Third Proportional to 434,588.63 and 943,984.13

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Solution

The third proportional to 434,588.63 and 943,984.13 is: 2,050,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,588.63 : 943,984.13 = 943,984.13 : x
  2. Step 2: Convert to fraction form
    434,588.63/943,984.13 = 943,984.13/x
  3. Step 3: Cross multiply
    434,588.63x = 943,984.13 × 943,984.13
  4. Step 4: Simplify right side
    434,588.63x = 891,106,028,252.02
  5. Step 5: Solve for x
    x = 891,106,028,252.02/434,588.63
  6. Step 6: Final answer
    x = 2,050,458.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.