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Finding the Third Proportional to 784,480 and 1,693,376

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Solution

The third proportional to 784,480 and 1,693,376 is: 3,655,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,480 : 1,693,376 = 1,693,376 : x
  2. Step 2: Convert to fraction form
    784,480/1,693,376 = 1,693,376/x
  3. Step 3: Cross multiply
    784,480x = 1,693,376 × 1,693,376
  4. Step 4: Simplify right side
    784,480x = 2,867,522,277,376
  5. Step 5: Solve for x
    x = 2,867,522,277,376/784,480
  6. Step 6: Final answer
    x = 3,655,315.98

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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.