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Finding the Third Proportional to 2,329,359.50 and 4,771,661

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Solution

The third proportional to 2,329,359.50 and 4,771,661 is: 9,774,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329,359.50 : 4,771,661 = 4,771,661 : x
  2. Step 2: Convert to fraction form
    2,329,359.50/4,771,661 = 4,771,661/x
  3. Step 3: Cross multiply
    2,329,359.50x = 4,771,661 × 4,771,661
  4. Step 4: Simplify right side
    2,329,359.50x = 22,768,748,698,921
  5. Step 5: Solve for x
    x = 22,768,748,698,921/2,329,359.50
  6. Step 6: Final answer
    x = 9,774,682.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.