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Finding the Third Proportional to 784,434.38 and 1,700,908.88

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Solution

The third proportional to 784,434.38 and 1,700,908.88 is: 3,688,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,434.38 : 1,700,908.88 = 1,700,908.88 : x
  2. Step 2: Convert to fraction form
    784,434.38/1,700,908.88 = 1,700,908.88/x
  3. Step 3: Cross multiply
    784,434.38x = 1,700,908.88 × 1,700,908.88
  4. Step 4: Simplify right side
    784,434.38x = 2,893,091,001,053.77
  5. Step 5: Solve for x
    x = 2,893,091,001,053.77/784,434.38
  6. Step 6: Final answer
    x = 3,688,123.69

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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.