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Finding the Third Proportional to 447,646 and 961,550

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Solution

The third proportional to 447,646 and 961,550 is: 2,065,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,646 : 961,550 = 961,550 : x
  2. Step 2: Convert to fraction form
    447,646/961,550 = 961,550/x
  3. Step 3: Cross multiply
    447,646x = 961,550 × 961,550
  4. Step 4: Simplify right side
    447,646x = 924,578,402,500
  5. Step 5: Solve for x
    x = 924,578,402,500/447,646
  6. Step 6: Final answer
    x = 2,065,423.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.