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Finding the Third Proportional to 779,784 and 1,700,496

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Solution

The third proportional to 779,784 and 1,700,496 is: 3,708,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,784 : 1,700,496 = 1,700,496 : x
  2. Step 2: Convert to fraction form
    779,784/1,700,496 = 1,700,496/x
  3. Step 3: Cross multiply
    779,784x = 1,700,496 × 1,700,496
  4. Step 4: Simplify right side
    779,784x = 2,891,686,646,016
  5. Step 5: Solve for x
    x = 2,891,686,646,016/779,784
  6. Step 6: Final answer
    x = 3,708,317.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.