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Finding the Third Proportional to 784,416 and 1,693,248

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Solution

The third proportional to 784,416 and 1,693,248 is: 3,655,061.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,416 : 1,693,248 = 1,693,248 : x
  2. Step 2: Convert to fraction form
    784,416/1,693,248 = 1,693,248/x
  3. Step 3: Cross multiply
    784,416x = 1,693,248 × 1,693,248
  4. Step 4: Simplify right side
    784,416x = 2,867,088,789,504
  5. Step 5: Solve for x
    x = 2,867,088,789,504/784,416
  6. Step 6: Final answer
    x = 3,655,061.59

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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.