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Finding the Third Proportional to 961,528 and 2,051,765

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Solution

The third proportional to 961,528 and 2,051,765 is: 4,378,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,528 : 2,051,765 = 2,051,765 : x
  2. Step 2: Convert to fraction form
    961,528/2,051,765 = 2,051,765/x
  3. Step 3: Cross multiply
    961,528x = 2,051,765 × 2,051,765
  4. Step 4: Simplify right side
    961,528x = 4,209,739,615,225
  5. Step 5: Solve for x
    x = 4,209,739,615,225/961,528
  6. Step 6: Final answer
    x = 4,378,176.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.