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Finding the Third Proportional to 859,017 and 1,865,658

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Solution

The third proportional to 859,017 and 1,865,658 is: 4,051,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,017 : 1,865,658 = 1,865,658 : x
  2. Step 2: Convert to fraction form
    859,017/1,865,658 = 1,865,658/x
  3. Step 3: Cross multiply
    859,017x = 1,865,658 × 1,865,658
  4. Step 4: Simplify right side
    859,017x = 3,480,679,772,964
  5. Step 5: Solve for x
    x = 3,480,679,772,964/859,017
  6. Step 6: Final answer
    x = 4,051,933.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.