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Finding the Third Proportional to 963,364 and 2,117,402

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Solution

The third proportional to 963,364 and 2,117,402 is: 4,653,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,364 : 2,117,402 = 2,117,402 : x
  2. Step 2: Convert to fraction form
    963,364/2,117,402 = 2,117,402/x
  3. Step 3: Cross multiply
    963,364x = 2,117,402 × 2,117,402
  4. Step 4: Simplify right side
    963,364x = 4,483,391,229,604
  5. Step 5: Solve for x
    x = 4,483,391,229,604/963,364
  6. Step 6: Final answer
    x = 4,653,891.19

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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.