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Finding the Third Proportional to 2,329,357.50 and 4,771,657

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Solution

The third proportional to 2,329,357.50 and 4,771,657 is: 9,774,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329,357.50 : 4,771,657 = 4,771,657 : x
  2. Step 2: Convert to fraction form
    2,329,357.50/4,771,657 = 4,771,657/x
  3. Step 3: Cross multiply
    2,329,357.50x = 4,771,657 × 4,771,657
  4. Step 4: Simplify right side
    2,329,357.50x = 22,768,710,525,649
  5. Step 5: Solve for x
    x = 22,768,710,525,649/2,329,357.50
  6. Step 6: Final answer
    x = 9,774,674.14

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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.