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Finding the Third Proportional to 792,682 and 1,697,465

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Solution

The third proportional to 792,682 and 1,697,465 is: 3,634,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,682 : 1,697,465 = 1,697,465 : x
  2. Step 2: Convert to fraction form
    792,682/1,697,465 = 1,697,465/x
  3. Step 3: Cross multiply
    792,682x = 1,697,465 × 1,697,465
  4. Step 4: Simplify right side
    792,682x = 2,881,387,426,225
  5. Step 5: Solve for x
    x = 2,881,387,426,225/792,682
  6. Step 6: Final answer
    x = 3,634,985.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.