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Finding the Third Proportional to 784,533 and 1,693,482

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Solution

The third proportional to 784,533 and 1,693,482 is: 3,655,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,533 : 1,693,482 = 1,693,482 : x
  2. Step 2: Convert to fraction form
    784,533/1,693,482 = 1,693,482/x
  3. Step 3: Cross multiply
    784,533x = 1,693,482 × 1,693,482
  4. Step 4: Simplify right side
    784,533x = 2,867,881,284,324
  5. Step 5: Solve for x
    x = 2,867,881,284,324/784,533
  6. Step 6: Final answer
    x = 3,655,526.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.