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Finding the Third Proportional to 765,465 and 1,683,000

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Solution

The third proportional to 765,465 and 1,683,000 is: 3,700,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,465 : 1,683,000 = 1,683,000 : x
  2. Step 2: Convert to fraction form
    765,465/1,683,000 = 1,683,000/x
  3. Step 3: Cross multiply
    765,465x = 1,683,000 × 1,683,000
  4. Step 4: Simplify right side
    765,465x = 2,832,489,000,000
  5. Step 5: Solve for x
    x = 2,832,489,000,000/765,465
  6. Step 6: Final answer
    x = 3,700,350.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.