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Finding the Third Proportional to 1,857,703.50 and 3,842,841

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Solution

The third proportional to 1,857,703.50 and 3,842,841 is: 7,949,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,703.50 : 3,842,841 = 3,842,841 : x
  2. Step 2: Convert to fraction form
    1,857,703.50/3,842,841 = 3,842,841/x
  3. Step 3: Cross multiply
    1,857,703.50x = 3,842,841 × 3,842,841
  4. Step 4: Simplify right side
    1,857,703.50x = 14,767,426,951,281
  5. Step 5: Solve for x
    x = 14,767,426,951,281/1,857,703.50
  6. Step 6: Final answer
    x = 7,949,291.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.